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Supermultiplet

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3087: 2645: 3082:{\displaystyle V=C+i\theta \chi -i{\overline {\theta }}{\overline {\chi }}+{\tfrac {i}{2}}\theta ^{2}(M+iN)-{\tfrac {i}{2}}{\overline {\theta ^{2}}}(M-iN)-\theta \sigma ^{\mu }{\overline {\theta }}A_{\mu }+i\theta ^{2}{\overline {\theta }}\left({\overline {\lambda }}+{\tfrac {i}{2}}{\overline {\sigma }}^{\mu }\partial _{\mu }\chi \right)-i{\overline {\theta }}^{2}\theta \left(\lambda +{\tfrac {i}{2}}\sigma ^{\mu }\partial _{\mu }{\overline {\chi }}\right)+{\tfrac {1}{2}}\theta ^{2}{\overline {\theta }}^{2}\left(D+{\tfrac {1}{2}}\Box C\right).} 772: 2298: 401: 2006: 3504: 767:{\displaystyle \Phi (x,\theta ,{\bar {\theta }})=\phi (x)+\theta \chi (x)+{\bar {\theta }}{\bar {\chi }}'(x)+{\bar {\theta }}\sigma ^{\mu }\theta V_{\mu }(x)+\theta ^{2}F(x)+{\bar {\theta }}^{2}{\bar {F}}'(x)+{\bar {\theta }}^{2}\theta \xi (x)+\theta ^{2}{\bar {\theta }}{\bar {\xi }}'(x)+\theta ^{2}{\bar {\theta }}^{2}D(x)} 2293:{\displaystyle \Phi (x,\theta ,{\bar {\theta }})=\phi (x)+{\sqrt {2}}\theta \psi (x)+\theta ^{2}F(x)+i\theta \sigma ^{\mu }{\bar {\theta }}\partial _{\mu }\phi (x)-{\frac {i}{\sqrt {2}}}\theta ^{2}\partial _{\mu }\psi (x)\sigma ^{\mu }{\bar {\theta }}-{\frac {1}{4}}\theta ^{2}{\bar {\theta }}^{2}\square \phi (x).} 1465: 2498: 3331: 893: 3612:
A scalar is never the highest component of a superfield; whether it appears in a superfield at all depends on the dimension of the spacetime. For example, in a 10-dimensional N=1 theory the vector multiplet contains only a vector and a
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there is only one supermultiplet with a finite number of fields, the gravity multiplet, and it contains no scalars. However again its dimensional reduction on a d-torus to a maximal gravity multiplet does contain scalars.
1698: 1105: 2391: 3499:{\displaystyle V_{\text{WZ}}=\theta \sigma ^{\mu }{\bar {\theta }}A_{\mu }+\theta ^{2}{\bar {\theta }}{\bar {\lambda }}+{\bar {\theta }}^{2}\theta \lambda +{\frac {1}{2}}\theta ^{2}{\bar {\theta }}^{2}D.} 1842: 1518: 1266: 351: 3803: 2604: 1978: 1152: 1302: 4200: 2383: 1201: 947: 393: 286: 217: 175: 4238: 3221: 4350: 4312: 4275: 4155: 4125: 3982: 3944: 3886: 3832: 3670: 2551: 2344: 1756: 1727: 1049: 980: 3194: 4067: 3914: 3856: 2637: 1331: 61:
which is valued in such a representation. NaĂŻvely, or when considering flat superspace, a superfield can simply be viewed as a function on superspace. Formally, it is a
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The use of these names for the different multiplets can vary in literature. A chiral multiplet (whose highest component is a spinor) may sometimes be referred to as a
3290: 4880: 4087: 4008: 1884: 1864: 3319: 3165: 4632: 3744: 4931: 3598: 3578: 3134: 3114: 1998: 1924: 1904: 781: 4916: 4906: 4360: 1460:{\displaystyle {\bar {D}}_{\dot {\alpha }}=-{\bar {\partial }}_{\dot {\alpha }}-i\theta ^{\alpha }\sigma _{\alpha {\dot {\alpha }}}^{\mu }\partial _{\mu }.} 1526: 4885: 1632: 4926: 4429: 4936: 2493:{\displaystyle D_{\alpha }=\partial _{\alpha }+i\sigma _{\alpha {\dot {\alpha }}}^{\mu }{\bar {\theta }}^{\dot {\alpha }}\partial _{\mu }.} 4518:
Krippendorf, Sven; Quevedo, Fernando; Schlotterer, Oliver (5 November 2010). "Cambridge Lectures on Supersymmetry and Extra Dimensions".
1054: 4625: 5052: 4941: 4665: 4979: 4974: 3622: 4911: 1788: 4618: 3747: 1214:. There exists a projection from the (full) superspace to chiral superspace. So, a function over chiral superspace can be 219:
supersymmetry for example), tensor multiplets and gravity multiplets. The highest component of a vector multiplet is a
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SUSY, a vector multiplet (whose highest component is a vector) can sometimes be referred to as a chiral multiplet.
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in a 1974 article. Operations on superfields and a partial classification were presented a few months later by
4854: 66: 3712:; this term has been abandoned, but the name "hypermultiplet" for some of its representations is still used. 1271: 4160: 5209: 4964: 4814: 4718: 4090: 2349: 1164: 910: 356: 249: 180: 138: 92: 62: 47: 4901: 4839: 4205: 2512: 4994: 4989: 4743: 4723: 3639: 3199: 1215: 232: 43: 4403: 4325: 4287: 4250: 4130: 4100: 3957: 3919: 3861: 3808: 3645: 2526: 2322: 1732: 1703: 1016: 955: 4779: 4728: 4547: 4485: 4409: 3720:
This section records some commonly used irreducible supermultiplets in extended supersymmetry in the
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supermultiplet, and so different constraints are needed to isolate irreducible representations.
3834:. For supermultiplets representing massless particles, on physical grounds the maximum allowed 4425: 4016: 3536: 3512: 3322: 3232: 1761: 989: 3269: 2503:
An antichiral superfield can be constructed as the complex conjugate of a chiral superfield.
4809: 4708: 4695: 4555: 4493: 4417: 4567: 4072: 3993: 1869: 1849: 5138: 5103: 4824: 4819: 4563: 4458: 3889: 3689: 3295: 3141: 5168: 3723: 4551: 4489: 4413: 3750:
construction in the sense that there is a vacuum vector annihilated by the supercharges
888:{\displaystyle \phi ,\chi ,{\bar {\chi }}',V_{\mu },F,{\bar {F}}',\xi ,{\bar {\xi }}',D} 5158: 5143: 4789: 3583: 3563: 3119: 3099: 1983: 1909: 1889: 116: 4473: 5203: 5183: 5163: 5113: 4748: 4685: 4655: 4641: 4578: 4559: 4497: 1619:{\displaystyle \Phi (y,\theta )=\phi (y)+{\sqrt {2}}\theta \psi (y)+\theta ^{2}F(y),} 1203: 236: 76:. It is a feature of supersymmetric field theories that particles form pairs, called 135:
The most commonly used supermultiplets are vector multiplets, chiral multiplets (in
5188: 5173: 5133: 5123: 5118: 5009: 4951: 4834: 4703: 4670: 4356: 4041: 3685: 3673: 3530: 124: 77: 5178: 5153: 5148: 5098: 5077: 5042: 5037: 4764: 4094: 4011: 3226: 220: 120: 108: 4421: 5082: 5072: 5057: 4849: 4769: 4733: 983: 58: 5128: 5032: 4921: 73: 4589: 17: 5067: 5062: 5047: 5022: 296:
Conventions in this section follow the notes by Figueroa-O'Farrill (
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Figueroa-O'Farrill, J. M. (2001). "Busstepp Lectures on Supersymmetry".
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For an action which can be defined from a single chiral superfield, see
1693:{\displaystyle y^{\mu }=x^{\mu }+i\theta \sigma ^{\mu }{\bar {\theta }}} 5027: 4602: 4804: 4794: 4382: 4377: 3601: 1933:
The field can then be expressed in terms of the original coordinates
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A vector superfield (also known as a real superfield) is a function
1700:. The superfield is independent of the 'conjugate spin coordinates' 235:, although the organization of the fields as representations of the 3621:
is a vector multiplet containing d real scalars. Similarly, in an
1886:
is a Weyl spinor. There is also the auxiliary complex scalar field
1100:{\displaystyle \theta _{\alpha },{\bar {\theta }}^{\dot {\alpha }}} 5017: 4524: 3704:
The name "hypermultiplet" comes from old term "hypersymmetry" for
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Their transformation properties and uses are further discussed in
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contains one gauge field, four Weyl fermions, six scalars, and
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consists of two Weyl fermions and two complex scalars, or two
3325:. In this gauge, the expansion takes on the much simpler form 91:
These supersymmetric fields are used to build supersymmetric
4331: 4293: 4256: 4136: 4106: 3963: 3925: 3901: 3867: 3843: 3818: 3790: 3651: 2532: 1182: 961: 928: 374: 267: 198: 156: 2312:, which is the complex conjugate of chiral superspace, and 223:, the highest component of a chiral or hypermultiplet is a 3580:
is an auxiliary scalar field. It is conventionally called
1333:
is the covariant derivative, given in index notation as
986:. Superspace contains the usual space-time coordinates 3672:
supersymmetry in 4 dimensions, containing two complex
3054: 3004: 2954: 2870: 2743: 2700: 1837:{\displaystyle {\bar {D}}_{\dot {\alpha }}y^{\mu }=0.} 297: 4472:
Ferrara, Sergio; Wess, Julius; Zumino, Bruno (1974).
4328: 4290: 4253: 4208: 4163: 4133: 4103: 4075: 4049: 4019: 3996: 3960: 3922: 3898: 3864: 3840: 3811: 3756: 3726: 3648: 3617:, while its dimensional reduction on a d-dimensional 3586: 3566: 3539: 3515: 3334: 3298: 3272: 3235: 3202: 3175: 3144: 3122: 3102: 2648: 2612: 2562: 2529: 2394: 2352: 2325: 2009: 1986: 1939: 1912: 1892: 1872: 1852: 1791: 1764: 1735: 1706: 1635: 1529: 1476: 1342: 1310: 1274: 1224: 1167: 1113: 1057: 1019: 992: 958: 913: 784: 404: 359: 309: 252: 231:. The names are defined so as to be invariant under 183: 141: 72:
Phenomenologically, superfields are used to describe
227:, the highest component of a gravity multiplet is a 5091: 5008: 4950: 4894: 4868: 4757: 4694: 4648: 4344: 4306: 4269: 4232: 4194: 4149: 4119: 4081: 4061: 4032: 4002: 3976: 3938: 3908: 3880: 3850: 3826: 3797: 3738: 3664: 3592: 3572: 3552: 3521: 3498: 3313: 3284: 3248: 3215: 3188: 3159: 3128: 3108: 3081: 2631: 2598: 2545: 2492: 2377: 2338: 2292: 1992: 1972: 1918: 1898: 1878: 1858: 1836: 1777: 1750: 1721: 1692: 1618: 1512: 1459: 1325: 1296: 1260: 1195: 1146: 1099: 1043: 1005: 974: 941: 907:A (anti-)chiral superfield is a supermultiplet of 887: 766: 387: 345: 280: 211: 169: 1513:{\displaystyle \Phi (x,\theta ,{\bar {\theta }})} 1261:{\displaystyle \Phi (x,\theta ,{\bar {\theta }})} 982:supersymmetry may be written using the notion of 346:{\displaystyle \Phi (x,\theta ,{\bar {\theta }})} 3798:{\displaystyle Q^{A},A=1,\cdots ,{\mathcal {N}}} 1930:which plays an important role in some theories. 177:supersymmetry for example), hypermultiplets (in 4538:Fayet, P. (1976), "Fermi-Bose hypersymmetry", 4097:). These can also be organised into a pair of 4626: 2599:{\displaystyle V(x,\theta ,{\bar {\theta }})} 2523:The vector superfield is a supermultiplet of 895:are different complex fields. This is not an 27:A representation of the supersymmetry algebra 8: 1973:{\displaystyle (x,\theta ,{\bar {\theta }})} 1147:{\displaystyle \alpha ,{\dot {\alpha }}=1,2} 4586:N=2 supersymmetric dynamics for pedestrians 3638:is a type of representation of an extended 4633: 4619: 4611: 1846:The expansion has the interpretation that 4601: 4523: 4330: 4329: 4327: 4292: 4291: 4289: 4255: 4254: 4252: 4240:. Such a multiplet can be used to define 4207: 4177: 4162: 4135: 4134: 4132: 4105: 4104: 4102: 4074: 4048: 4024: 4018: 3995: 3962: 3961: 3959: 3924: 3923: 3921: 3900: 3899: 3897: 3866: 3865: 3863: 3842: 3841: 3839: 3817: 3816: 3810: 3789: 3788: 3761: 3755: 3725: 3650: 3649: 3647: 3585: 3565: 3544: 3538: 3514: 3484: 3473: 3472: 3465: 3451: 3436: 3425: 3424: 3409: 3408: 3397: 3396: 3390: 3377: 3362: 3361: 3355: 3339: 3333: 3297: 3271: 3240: 3234: 3207: 3201: 3180: 3174: 3143: 3121: 3101: 3053: 3036: 3026: 3019: 3003: 2985: 2979: 2969: 2953: 2933: 2923: 2902: 2892: 2882: 2869: 2856: 2841: 2835: 2819: 2805: 2799: 2760: 2754: 2742: 2715: 2699: 2686: 2676: 2647: 2623: 2611: 2582: 2581: 2561: 2531: 2530: 2528: 2481: 2465: 2464: 2453: 2452: 2445: 2433: 2432: 2428: 2412: 2399: 2393: 2360: 2351: 2330: 2324: 2266: 2255: 2254: 2247: 2233: 2219: 2218: 2212: 2190: 2180: 2164: 2143: 2128: 2127: 2121: 2090: 2061: 2029: 2028: 2008: 1985: 1956: 1955: 1938: 1911: 1891: 1871: 1851: 1822: 1806: 1805: 1794: 1793: 1790: 1769: 1763: 1737: 1736: 1734: 1708: 1707: 1705: 1679: 1678: 1672: 1653: 1640: 1634: 1595: 1566: 1528: 1496: 1495: 1475: 1448: 1438: 1426: 1425: 1421: 1411: 1389: 1388: 1377: 1376: 1357: 1356: 1345: 1344: 1341: 1312: 1311: 1309: 1275: 1273: 1244: 1243: 1223: 1181: 1180: 1166: 1154:, transforming as a two-component (Weyl) 1121: 1120: 1112: 1085: 1084: 1073: 1072: 1062: 1056: 1018: 997: 991: 960: 959: 957: 927: 926: 912: 864: 863: 838: 837: 821: 799: 798: 783: 746: 735: 734: 727: 696: 695: 683: 682: 676: 648: 637: 636: 608: 607: 600: 589: 588: 566: 544: 531: 516: 515: 488: 487: 475: 474: 424: 423: 403: 373: 372: 358: 329: 328: 308: 292:Superfields in d = 4, N = 1 supersymmetry 266: 265: 251: 197: 196: 182: 155: 154: 140: 4402:Salam, Abdus; Strathdee, J. (May 1994). 3642:, in particular the matter multiplet of 3266:Using gauge transformations, the fields 1218:to the full superspace. Such a function 4474:"Supergauge multiplets and superfields" 4394: 1051:, and four extra fermionic coordinates 4454: 4444: 4361:N = 4 supersymmetric Yang–Mills theory 2606:which satisfies the reality condition 1297:{\displaystyle {\overline {D}}\Phi =0} 4195:{\displaystyle W=(A_{\mu },\lambda )} 3709: 3321:can be set to zero. This is known as 7: 2639:. Such a field admits the expansion 2378:{\displaystyle D\Phi ^{\dagger }=0,} 1196:{\displaystyle d=4,{\mathcal {N}}=1} 942:{\displaystyle d=4,{\mathcal {N}}=1} 388:{\displaystyle d=4,{\mathcal {N}}=1} 281:{\displaystyle d=4,{\mathcal {N}}=2} 212:{\displaystyle d=4,{\mathcal {N}}=2} 170:{\displaystyle d=4,{\mathcal {N}}=1} 4233:{\displaystyle \Phi =(\phi ,\psi )} 1980:by substituting the expression for 1268:satisfies the covariant constraint 95:, where the fields are promoted to 4209: 3997: 3216:{\displaystyle \lambda ^{\alpha }} 2976: 2899: 2478: 2409: 2357: 2327: 2187: 2140: 2010: 1530: 1477: 1445: 1379: 1285: 1225: 405: 310: 25: 4408:. Vol. 5. pp. 404–409. 3746:case. These are constructed by a 3716:Extended supersymmetry (N > 1) 395:supersymmetry can be expanded as 4666:Supersymmetric quantum mechanics 4345:{\displaystyle {\mathcal {N}}=4} 4307:{\displaystyle {\mathcal {N}}=1} 4270:{\displaystyle {\mathcal {N}}=2} 4150:{\displaystyle {\mathcal {N}}=1} 4120:{\displaystyle {\mathcal {N}}=1} 3977:{\displaystyle {\mathcal {N}}=2} 3939:{\displaystyle {\mathcal {N}}=4} 3881:{\displaystyle {\mathcal {N}}=8} 3827:{\displaystyle 2^{\mathcal {N}}} 3665:{\displaystyle {\mathcal {N}}=2} 2546:{\displaystyle {\mathcal {N}}=1} 2339:{\displaystyle \Phi ^{\dagger }} 1751:{\displaystyle {\bar {\theta }}} 1729:in the sense that it depends on 1722:{\displaystyle {\bar {\theta }}} 1044:{\displaystyle \mu =0,\ldots ,3} 975:{\displaystyle {\mathcal {N}}=1} 952:In four dimensions, the minimal 67:associated supermultiplet bundle 3189:{\displaystyle \chi _{\alpha }} 2507:Actions from chiral superfields 107:Superfields were introduced by 4227: 4215: 4189: 4170: 4062:{\displaystyle \lambda ,\psi } 3909:{\displaystyle {\mathcal {N}}} 3851:{\displaystyle {\mathcal {N}}} 3478: 3430: 3414: 3402: 3367: 2786: 2771: 2736: 2721: 2632:{\displaystyle V=V^{\dagger }} 2593: 2587: 2566: 2458: 2284: 2278: 2260: 2224: 2205: 2199: 2158: 2152: 2133: 2105: 2099: 2080: 2074: 2055: 2049: 2040: 2034: 2013: 1967: 1961: 1940: 1799: 1742: 1713: 1684: 1610: 1604: 1585: 1579: 1560: 1554: 1545: 1533: 1507: 1501: 1480: 1382: 1350: 1317: 1255: 1249: 1228: 1078: 869: 843: 804: 761: 755: 740: 717: 711: 701: 688: 666: 660: 642: 629: 623: 613: 594: 581: 575: 556: 550: 521: 509: 503: 493: 480: 468: 462: 450: 444: 435: 429: 408: 340: 334: 313: 1: 4089:(which also transform in the 3748:highest-weight representation 303:A general complex superfield 4560:10.1016/0550-3213(76)90458-2 4498:10.1016/0370-2693(74)90283-4 4359:conjugates. This appears in 3805:. The irreps have dimension 3031: 2990: 2928: 2887: 2861: 2846: 2810: 2766: 2691: 2681: 1280: 4661:Supersymmetric gauge theory 4405:Super-Gauge Transformations 4373:Supersymmetric gauge theory 3261:supersymmetric gauge theory 3092:The constituent fields are 1926:by convention: this is the 1866:is a complex scalar field, 5226: 4960:Pure 4D N = 1 supergravity 4422:10.1142/9789812795915_0047 1326:{\displaystyle {\bar {D}}} 4860:Electric–magnetic duality 3708:=2 supersymmetry used by 2319:An antichiral superfield 2308:Similarly, there is also 1785:. It can be checked that 131:Naming and classification 4881:Haag–ƁopuszaƄski–Sohnius 4855:Little hierarchy problem 4033:{\displaystyle A_{\mu }} 3553:{\displaystyle A_{\mu }} 3522:{\displaystyle \lambda } 3249:{\displaystyle A_{\mu }} 1778:{\displaystyle y^{\mu }} 1520:can then be expanded as 1006:{\displaystyle x^{\mu }} 4937:6D (2,0) superconformal 3285:{\displaystyle C,\chi } 3169:Two Weyl spinor fields 3138:A complex scalar field 3096:Two real scalar fields 4917:N = 4 super Yang–Mills 4907:N = 1 super Yang–Mills 4815:Supersymmetry breaking 4719:Superconformal algebra 4714:Super-PoincarĂ© algebra 4575:A Supersymmetry Primer 4346: 4308: 4271: 4234: 4196: 4151: 4121: 4091:adjoint representation 4083: 4063: 4034: 4004: 3978: 3940: 3910: 3892:, the maximum allowed 3882: 3852: 3828: 3799: 3740: 3666: 3600:, and is known as the 3594: 3574: 3554: 3523: 3500: 3315: 3286: 3250: 3217: 3190: 3161: 3130: 3110: 3083: 2633: 2600: 2547: 2494: 2379: 2340: 2314:antichiral superfields 2304:Antichiral superfields 2294: 1994: 1974: 1920: 1900: 1880: 1860: 1838: 1779: 1752: 1723: 1694: 1620: 1514: 1461: 1327: 1298: 1262: 1197: 1148: 1101: 1045: 1007: 976: 943: 889: 768: 389: 347: 282: 213: 171: 93:quantum field theories 48:extended supersymmetry 4995:Type IIB supergravity 4990:Type IIA supergravity 4965:4D N = 1 supergravity 4830:Seiberg–Witten theory 4744:Super Minkowski space 4724:Supersymmetry algebra 4347: 4309: 4272: 4242:Seiberg–Witten theory 4235: 4202:and chiral multiplet 4197: 4152: 4122: 4084: 4082:{\displaystyle \phi } 4064: 4035: 4005: 4003:{\displaystyle \Psi } 3979: 3941: 3911: 3883: 3853: 3829: 3800: 3741: 3667: 3640:supersymmetry algebra 3623:11-dimensional theory 3595: 3575: 3555: 3524: 3501: 3316: 3287: 3251: 3225:A real vector field ( 3218: 3191: 3162: 3131: 3111: 3084: 2634: 2601: 2548: 2495: 2380: 2341: 2310:antichiral superspace 2295: 1995: 1975: 1921: 1901: 1881: 1879:{\displaystyle \psi } 1861: 1859:{\displaystyle \phi } 1839: 1780: 1753: 1724: 1695: 1621: 1515: 1462: 1328: 1299: 1263: 1198: 1149: 1102: 1046: 1008: 977: 944: 890: 769: 390: 348: 283: 233:dimensional reduction 214: 172: 44:supersymmetry algebra 4780:Short supermultiplet 4579:arXiv:hep-ph/9709356 4326: 4288: 4251: 4206: 4161: 4131: 4101: 4073: 4047: 4017: 3994: 3958: 3920: 3896: 3862: 3838: 3809: 3754: 3724: 3646: 3615:Majorana–Weyl spinor 3584: 3564: 3537: 3513: 3332: 3314:{\displaystyle M+iN} 3296: 3270: 3233: 3200: 3173: 3160:{\displaystyle M+iN} 3142: 3120: 3100: 2646: 2610: 2560: 2527: 2392: 2350: 2323: 2007: 1984: 1937: 1910: 1890: 1870: 1850: 1789: 1762: 1733: 1704: 1633: 1527: 1474: 1470:A chiral superfield 1340: 1308: 1272: 1222: 1165: 1111: 1055: 1017: 990: 956: 911: 782: 402: 357: 307: 250: 181: 139: 5000:Gauged supergravity 4985:Type I supergravity 4942:ABJM superconformal 4739:Harmonic superspace 4573:Stephen P. Martin. 4552:1976NuPhB.113..135F 4490:1974PhLB...51..239F 4414:1994spas.book..404S 4314:chiral multiplets. 3739:{\displaystyle d=4} 3688:ψ, and two further 2450: 1443: 1210:is a function over 1158:and its conjugate. 32:theoretical physics 4975:Higher dimensional 4970:N = 8 supergravity 4886:Nonrenormalization 4681:Super vector space 4676:Superstring theory 4342: 4304: 4267: 4230: 4192: 4147: 4117: 4079: 4059: 4030: 4000: 3974: 3936: 3906: 3878: 3848: 3824: 3795: 3736: 3662: 3590: 3570: 3550: 3519: 3496: 3311: 3282: 3246: 3213: 3186: 3157: 3126: 3106: 3079: 3063: 3013: 2963: 2879: 2752: 2709: 2629: 2596: 2543: 2490: 2424: 2375: 2336: 2290: 1990: 1970: 1916: 1896: 1876: 1856: 1834: 1775: 1748: 1719: 1690: 1616: 1510: 1457: 1417: 1323: 1294: 1258: 1193: 1144: 1097: 1041: 1003: 972: 939: 885: 764: 385: 343: 278: 209: 167: 5197: 5196: 4840:Wess–Zumino gauge 4540:Nuclear Physics B 4431:978-981-02-1662-7 4157:vector multiplet 3890:renormalizability 3593:{\displaystyle D} 3573:{\displaystyle D} 3481: 3459: 3433: 3417: 3405: 3370: 3342: 3323:Wess-Zumino gauge 3129:{\displaystyle D} 3109:{\displaystyle C} 3062: 3034: 3012: 2993: 2962: 2931: 2890: 2878: 2864: 2849: 2813: 2769: 2751: 2708: 2694: 2684: 2590: 2519:Vector superfield 2513:Wess–Zumino model 2473: 2461: 2441: 2263: 2241: 2227: 2174: 2173: 2136: 2066: 2037: 1993:{\displaystyle y} 1964: 1919:{\displaystyle F} 1899:{\displaystyle F} 1814: 1802: 1745: 1716: 1687: 1571: 1504: 1434: 1397: 1385: 1365: 1353: 1320: 1283: 1252: 1212:chiral superspace 1208:chiral superfield 1129: 1093: 1081: 903:Chiral superfield 872: 846: 807: 743: 704: 691: 645: 616: 597: 524: 496: 483: 432: 337: 16:(Redirected from 5217: 4980:11D supergravity 4709:Lie superalgebra 4696:Supermathematics 4635: 4628: 4621: 4612: 4607: 4605: 4584:Yuji Tachikawa. 4570: 4530: 4529: 4527: 4515: 4509: 4508: 4506: 4504: 4469: 4463: 4462: 4456: 4452: 4450: 4442: 4440: 4438: 4399: 4353:vector multiplet 4351: 4349: 4348: 4343: 4335: 4334: 4313: 4311: 4310: 4305: 4297: 4296: 4282:scalar multiplet 4276: 4274: 4273: 4268: 4260: 4259: 4239: 4237: 4236: 4231: 4201: 4199: 4198: 4193: 4182: 4181: 4156: 4154: 4153: 4148: 4140: 4139: 4126: 4124: 4123: 4118: 4110: 4109: 4088: 4086: 4085: 4080: 4068: 4066: 4065: 4060: 4039: 4037: 4036: 4031: 4029: 4028: 4009: 4007: 4006: 4001: 3989:chiral multiplet 3983: 3981: 3980: 3975: 3967: 3966: 3945: 3943: 3942: 3937: 3929: 3928: 3915: 3913: 3912: 3907: 3905: 3904: 3887: 3885: 3884: 3879: 3871: 3870: 3857: 3855: 3854: 3849: 3847: 3846: 3833: 3831: 3830: 3825: 3823: 3822: 3821: 3804: 3802: 3801: 3796: 3794: 3793: 3766: 3765: 3745: 3743: 3742: 3737: 3692:complex scalars 3671: 3669: 3668: 3663: 3655: 3654: 3599: 3597: 3596: 3591: 3579: 3577: 3576: 3571: 3559: 3557: 3556: 3551: 3549: 3548: 3528: 3526: 3525: 3520: 3505: 3503: 3502: 3497: 3489: 3488: 3483: 3482: 3474: 3470: 3469: 3460: 3452: 3441: 3440: 3435: 3434: 3426: 3419: 3418: 3410: 3407: 3406: 3398: 3395: 3394: 3382: 3381: 3372: 3371: 3363: 3360: 3359: 3344: 3343: 3340: 3320: 3318: 3317: 3312: 3291: 3289: 3288: 3283: 3255: 3253: 3252: 3247: 3245: 3244: 3222: 3220: 3219: 3214: 3212: 3211: 3195: 3193: 3192: 3187: 3185: 3184: 3166: 3164: 3163: 3158: 3135: 3133: 3132: 3127: 3115: 3113: 3112: 3107: 3088: 3086: 3085: 3080: 3075: 3071: 3064: 3055: 3041: 3040: 3035: 3027: 3024: 3023: 3014: 3005: 2999: 2995: 2994: 2986: 2984: 2983: 2974: 2973: 2964: 2955: 2938: 2937: 2932: 2924: 2915: 2911: 2907: 2906: 2897: 2896: 2891: 2883: 2880: 2871: 2865: 2857: 2850: 2842: 2840: 2839: 2824: 2823: 2814: 2806: 2804: 2803: 2770: 2765: 2764: 2755: 2753: 2744: 2720: 2719: 2710: 2701: 2695: 2687: 2685: 2677: 2638: 2636: 2635: 2630: 2628: 2627: 2605: 2603: 2602: 2597: 2592: 2591: 2583: 2552: 2550: 2549: 2544: 2536: 2535: 2499: 2497: 2496: 2491: 2486: 2485: 2476: 2475: 2474: 2466: 2463: 2462: 2454: 2449: 2444: 2443: 2442: 2434: 2417: 2416: 2404: 2403: 2384: 2382: 2381: 2376: 2365: 2364: 2345: 2343: 2342: 2337: 2335: 2334: 2299: 2297: 2296: 2291: 2271: 2270: 2265: 2264: 2256: 2252: 2251: 2242: 2234: 2229: 2228: 2220: 2217: 2216: 2195: 2194: 2185: 2184: 2175: 2169: 2165: 2148: 2147: 2138: 2137: 2129: 2126: 2125: 2095: 2094: 2067: 2062: 2039: 2038: 2030: 1999: 1997: 1996: 1991: 1979: 1977: 1976: 1971: 1966: 1965: 1957: 1925: 1923: 1922: 1917: 1905: 1903: 1902: 1897: 1885: 1883: 1882: 1877: 1865: 1863: 1862: 1857: 1843: 1841: 1840: 1835: 1827: 1826: 1817: 1816: 1815: 1807: 1804: 1803: 1795: 1784: 1782: 1781: 1776: 1774: 1773: 1757: 1755: 1754: 1749: 1747: 1746: 1738: 1728: 1726: 1725: 1720: 1718: 1717: 1709: 1699: 1697: 1696: 1691: 1689: 1688: 1680: 1677: 1676: 1658: 1657: 1645: 1644: 1625: 1623: 1622: 1617: 1600: 1599: 1572: 1567: 1519: 1517: 1516: 1511: 1506: 1505: 1497: 1466: 1464: 1463: 1458: 1453: 1452: 1442: 1437: 1436: 1435: 1427: 1416: 1415: 1400: 1399: 1398: 1390: 1387: 1386: 1378: 1368: 1367: 1366: 1358: 1355: 1354: 1346: 1332: 1330: 1329: 1324: 1322: 1321: 1313: 1303: 1301: 1300: 1295: 1284: 1276: 1267: 1265: 1264: 1259: 1254: 1253: 1245: 1202: 1200: 1199: 1194: 1186: 1185: 1153: 1151: 1150: 1145: 1131: 1130: 1122: 1106: 1104: 1103: 1098: 1096: 1095: 1094: 1086: 1083: 1082: 1074: 1067: 1066: 1050: 1048: 1047: 1042: 1012: 1010: 1009: 1004: 1002: 1001: 981: 979: 978: 973: 965: 964: 948: 946: 945: 940: 932: 931: 894: 892: 891: 886: 878: 874: 873: 865: 852: 848: 847: 839: 826: 825: 813: 809: 808: 800: 773: 771: 770: 765: 751: 750: 745: 744: 736: 732: 731: 710: 706: 705: 697: 693: 692: 684: 681: 680: 653: 652: 647: 646: 638: 622: 618: 617: 609: 605: 604: 599: 598: 590: 571: 570: 549: 548: 536: 535: 526: 525: 517: 502: 498: 497: 489: 485: 484: 476: 434: 433: 425: 394: 392: 391: 386: 378: 377: 352: 350: 349: 344: 339: 338: 330: 287: 285: 284: 279: 271: 270: 244:scalar multiplet 218: 216: 215: 210: 202: 201: 176: 174: 173: 168: 160: 159: 84:are paired with 46:, possibly with 21: 5225: 5224: 5220: 5219: 5218: 5216: 5215: 5214: 5200: 5199: 5198: 5193: 5087: 5004: 4946: 4890: 4876:Coleman–Mandula 4864: 4825:Seiberg duality 4820:Konishi anomaly 4753: 4690: 4644: 4639: 4595: 4590:arXiv:1312.2684 4537: 4534: 4533: 4517: 4516: 4512: 4502: 4500: 4471: 4470: 4466: 4453: 4443: 4436: 4434: 4432: 4401: 4400: 4396: 4391: 4369: 4324: 4323: 4320: 4286: 4285: 4249: 4248: 4204: 4203: 4173: 4159: 4158: 4129: 4128: 4127:multiplets, an 4099: 4098: 4071: 4070: 4069:, and a scalar 4045: 4044: 4020: 4015: 4014: 3992: 3991: 3956: 3955: 3952: 3918: 3917: 3894: 3893: 3860: 3859: 3836: 3835: 3812: 3807: 3806: 3757: 3752: 3751: 3722: 3721: 3718: 3700: 3683: 3644: 3643: 3632: 3610: 3582: 3581: 3562: 3561: 3540: 3535: 3534: 3511: 3510: 3471: 3461: 3423: 3386: 3373: 3351: 3335: 3330: 3329: 3294: 3293: 3268: 3267: 3236: 3231: 3230: 3203: 3198: 3197: 3176: 3171: 3170: 3140: 3139: 3118: 3117: 3098: 3097: 3046: 3042: 3025: 3015: 2975: 2965: 2946: 2942: 2922: 2898: 2881: 2855: 2851: 2831: 2815: 2795: 2756: 2711: 2644: 2643: 2619: 2608: 2607: 2558: 2557: 2553:supersymmetry. 2525: 2524: 2521: 2509: 2477: 2451: 2408: 2395: 2390: 2389: 2356: 2348: 2347: 2326: 2321: 2320: 2306: 2253: 2243: 2208: 2186: 2176: 2139: 2117: 2086: 2005: 2004: 1982: 1981: 1935: 1934: 1908: 1907: 1888: 1887: 1868: 1867: 1848: 1847: 1818: 1792: 1787: 1786: 1765: 1760: 1759: 1731: 1730: 1702: 1701: 1668: 1649: 1636: 1631: 1630: 1591: 1525: 1524: 1472: 1471: 1444: 1407: 1375: 1343: 1338: 1337: 1306: 1305: 1270: 1269: 1220: 1219: 1163: 1162: 1109: 1108: 1071: 1058: 1053: 1052: 1015: 1014: 993: 988: 987: 954: 953: 949:supersymmetry. 909: 908: 905: 862: 836: 817: 797: 780: 779: 733: 723: 694: 672: 635: 606: 587: 562: 540: 527: 486: 400: 399: 355: 354: 305: 304: 294: 248: 247: 179: 178: 137: 136: 133: 113:J. A. Strathdee 105: 28: 23: 22: 15: 12: 11: 5: 5223: 5221: 5213: 5212: 5202: 5201: 5195: 5194: 5192: 5191: 5186: 5181: 5176: 5171: 5166: 5161: 5156: 5151: 5146: 5141: 5136: 5131: 5126: 5121: 5116: 5111: 5106: 5101: 5095: 5093: 5089: 5088: 5086: 5085: 5080: 5075: 5070: 5065: 5060: 5055: 5050: 5045: 5040: 5035: 5030: 5025: 5020: 5014: 5012: 5006: 5005: 5003: 5002: 4997: 4992: 4987: 4982: 4977: 4972: 4967: 4962: 4956: 4954: 4948: 4947: 4945: 4944: 4939: 4934: 4929: 4924: 4919: 4914: 4909: 4904: 4898: 4896: 4895:Field theories 4892: 4891: 4889: 4888: 4883: 4878: 4872: 4870: 4866: 4865: 4863: 4862: 4857: 4852: 4847: 4842: 4837: 4832: 4827: 4822: 4817: 4812: 4807: 4802: 4797: 4792: 4790:Superpotential 4787: 4782: 4777: 4775:Supermultiplet 4772: 4767: 4761: 4759: 4755: 4754: 4752: 4751: 4746: 4741: 4736: 4731: 4726: 4721: 4716: 4711: 4706: 4700: 4698: 4692: 4691: 4689: 4688: 4683: 4678: 4673: 4668: 4663: 4658: 4652: 4650: 4649:General topics 4646: 4645: 4640: 4638: 4637: 4630: 4623: 4615: 4609: 4608: 4603:hep-th/0109172 4593: 4582: 4571: 4546:(1): 135–155, 4532: 4531: 4510: 4484:(3): 239–241. 4464: 4455:|journal= 4430: 4393: 4392: 4390: 4387: 4386: 4385: 4380: 4375: 4368: 4365: 4341: 4338: 4333: 4319: 4316: 4303: 4300: 4295: 4278:hypermultiplet 4266: 4263: 4258: 4229: 4226: 4223: 4220: 4217: 4214: 4211: 4191: 4188: 4185: 4180: 4176: 4172: 4169: 4166: 4146: 4143: 4138: 4116: 4113: 4108: 4078: 4058: 4055: 4052: 4027: 4023: 3999: 3973: 3970: 3965: 3951: 3948: 3935: 3932: 3927: 3903: 3877: 3874: 3869: 3845: 3820: 3815: 3792: 3787: 3784: 3781: 3778: 3775: 3772: 3769: 3764: 3760: 3735: 3732: 3729: 3717: 3714: 3696: 3679: 3661: 3658: 3653: 3636:hypermultiplet 3631: 3630:Hypermultiplet 3628: 3609: 3606: 3589: 3569: 3547: 3543: 3518: 3507: 3506: 3495: 3492: 3487: 3480: 3477: 3468: 3464: 3458: 3455: 3450: 3447: 3444: 3439: 3432: 3429: 3422: 3416: 3413: 3404: 3401: 3393: 3389: 3385: 3380: 3376: 3369: 3366: 3358: 3354: 3350: 3347: 3338: 3310: 3307: 3304: 3301: 3281: 3278: 3275: 3257: 3256: 3243: 3239: 3223: 3210: 3206: 3183: 3179: 3167: 3156: 3153: 3150: 3147: 3136: 3125: 3105: 3090: 3089: 3078: 3074: 3070: 3067: 3061: 3058: 3052: 3049: 3045: 3039: 3033: 3030: 3022: 3018: 3011: 3008: 3002: 2998: 2992: 2989: 2982: 2978: 2972: 2968: 2961: 2958: 2952: 2949: 2945: 2941: 2936: 2930: 2927: 2921: 2918: 2914: 2910: 2905: 2901: 2895: 2889: 2886: 2877: 2874: 2868: 2863: 2860: 2854: 2848: 2845: 2838: 2834: 2830: 2827: 2822: 2818: 2812: 2809: 2802: 2798: 2794: 2791: 2788: 2785: 2782: 2779: 2776: 2773: 2768: 2763: 2759: 2750: 2747: 2741: 2738: 2735: 2732: 2729: 2726: 2723: 2718: 2714: 2707: 2704: 2698: 2693: 2690: 2683: 2680: 2675: 2672: 2669: 2666: 2663: 2660: 2657: 2654: 2651: 2626: 2622: 2618: 2615: 2595: 2589: 2586: 2580: 2577: 2574: 2571: 2568: 2565: 2542: 2539: 2534: 2520: 2517: 2508: 2505: 2501: 2500: 2489: 2484: 2480: 2472: 2469: 2460: 2457: 2448: 2440: 2437: 2431: 2427: 2423: 2420: 2415: 2411: 2407: 2402: 2398: 2374: 2371: 2368: 2363: 2359: 2355: 2333: 2329: 2305: 2302: 2301: 2300: 2289: 2286: 2283: 2280: 2277: 2274: 2269: 2262: 2259: 2250: 2246: 2240: 2237: 2232: 2226: 2223: 2215: 2211: 2207: 2204: 2201: 2198: 2193: 2189: 2183: 2179: 2172: 2168: 2163: 2160: 2157: 2154: 2151: 2146: 2142: 2135: 2132: 2124: 2120: 2116: 2113: 2110: 2107: 2104: 2101: 2098: 2093: 2089: 2085: 2082: 2079: 2076: 2073: 2070: 2065: 2060: 2057: 2054: 2051: 2048: 2045: 2042: 2036: 2033: 2027: 2024: 2021: 2018: 2015: 2012: 1989: 1969: 1963: 1960: 1954: 1951: 1948: 1945: 1942: 1915: 1895: 1875: 1855: 1833: 1830: 1825: 1821: 1813: 1810: 1801: 1798: 1772: 1768: 1744: 1741: 1715: 1712: 1686: 1683: 1675: 1671: 1667: 1664: 1661: 1656: 1652: 1648: 1643: 1639: 1627: 1626: 1615: 1612: 1609: 1606: 1603: 1598: 1594: 1590: 1587: 1584: 1581: 1578: 1575: 1570: 1565: 1562: 1559: 1556: 1553: 1550: 1547: 1544: 1541: 1538: 1535: 1532: 1509: 1503: 1500: 1494: 1491: 1488: 1485: 1482: 1479: 1468: 1467: 1456: 1451: 1447: 1441: 1433: 1430: 1424: 1420: 1414: 1410: 1406: 1403: 1396: 1393: 1384: 1381: 1374: 1371: 1364: 1361: 1352: 1349: 1319: 1316: 1293: 1290: 1287: 1282: 1279: 1257: 1251: 1248: 1242: 1239: 1236: 1233: 1230: 1227: 1192: 1189: 1184: 1179: 1176: 1173: 1170: 1143: 1140: 1137: 1134: 1128: 1125: 1119: 1116: 1092: 1089: 1080: 1077: 1070: 1065: 1061: 1040: 1037: 1034: 1031: 1028: 1025: 1022: 1000: 996: 971: 968: 963: 938: 935: 930: 925: 922: 919: 916: 904: 901: 884: 881: 877: 871: 868: 861: 858: 855: 851: 845: 842: 835: 832: 829: 824: 820: 816: 812: 806: 803: 796: 793: 790: 787: 776: 775: 763: 760: 757: 754: 749: 742: 739: 730: 726: 722: 719: 716: 713: 709: 703: 700: 690: 687: 679: 675: 671: 668: 665: 662: 659: 656: 651: 644: 641: 634: 631: 628: 625: 621: 615: 612: 603: 596: 593: 586: 583: 580: 577: 574: 569: 565: 561: 558: 555: 552: 547: 543: 539: 534: 530: 523: 520: 514: 511: 508: 505: 501: 495: 492: 482: 479: 473: 470: 467: 464: 461: 458: 455: 452: 449: 446: 443: 440: 437: 431: 428: 422: 419: 416: 413: 410: 407: 384: 381: 376: 371: 368: 365: 362: 342: 336: 333: 327: 324: 321: 318: 315: 312: 293: 290: 277: 274: 269: 264: 261: 258: 255: 208: 205: 200: 195: 192: 189: 186: 166: 163: 158: 153: 150: 147: 144: 132: 129: 117:Sergio Ferrara 104: 101: 57:is a field on 40:representation 36:supermultiplet 26: 24: 14: 13: 10: 9: 6: 4: 3: 2: 5222: 5211: 5210:Supersymmetry 5208: 5207: 5205: 5190: 5187: 5185: 5182: 5180: 5177: 5175: 5172: 5170: 5167: 5165: 5162: 5160: 5157: 5155: 5152: 5150: 5147: 5145: 5142: 5140: 5137: 5135: 5132: 5130: 5127: 5125: 5122: 5120: 5117: 5115: 5112: 5110: 5107: 5105: 5102: 5100: 5097: 5096: 5094: 5090: 5084: 5081: 5079: 5076: 5074: 5071: 5069: 5066: 5064: 5061: 5059: 5056: 5054: 5051: 5049: 5046: 5044: 5041: 5039: 5036: 5034: 5031: 5029: 5026: 5024: 5021: 5019: 5016: 5015: 5013: 5011: 5010:Superpartners 5007: 5001: 4998: 4996: 4993: 4991: 4988: 4986: 4983: 4981: 4978: 4976: 4973: 4971: 4968: 4966: 4963: 4961: 4958: 4957: 4955: 4953: 4949: 4943: 4940: 4938: 4935: 4933: 4930: 4928: 4925: 4923: 4920: 4918: 4915: 4913: 4910: 4908: 4905: 4903: 4900: 4899: 4897: 4893: 4887: 4884: 4882: 4879: 4877: 4874: 4873: 4871: 4867: 4861: 4858: 4856: 4853: 4851: 4848: 4846: 4843: 4841: 4838: 4836: 4833: 4831: 4828: 4826: 4823: 4821: 4818: 4816: 4813: 4811: 4808: 4806: 4803: 4801: 4798: 4796: 4793: 4791: 4788: 4786: 4783: 4781: 4778: 4776: 4773: 4771: 4768: 4766: 4763: 4762: 4760: 4756: 4750: 4749:Supermanifold 4747: 4745: 4742: 4740: 4737: 4735: 4732: 4730: 4727: 4725: 4722: 4720: 4717: 4715: 4712: 4710: 4707: 4705: 4702: 4701: 4699: 4697: 4693: 4687: 4686:Supergeometry 4684: 4682: 4679: 4677: 4674: 4672: 4669: 4667: 4664: 4662: 4659: 4657: 4656:Supersymmetry 4654: 4653: 4651: 4647: 4643: 4642:Supersymmetry 4636: 4631: 4629: 4624: 4622: 4617: 4616: 4613: 4604: 4599: 4594: 4591: 4587: 4583: 4580: 4576: 4572: 4569: 4565: 4561: 4557: 4553: 4549: 4545: 4541: 4536: 4535: 4526: 4521: 4514: 4511: 4499: 4495: 4491: 4487: 4483: 4479: 4478:Phys. Lett. B 4475: 4468: 4465: 4460: 4448: 4433: 4427: 4423: 4419: 4415: 4411: 4407: 4406: 4398: 4395: 4388: 4384: 4381: 4379: 4376: 4374: 4371: 4370: 4366: 4364: 4362: 4358: 4354: 4339: 4336: 4317: 4315: 4301: 4298: 4283: 4279: 4264: 4261: 4245: 4243: 4224: 4221: 4218: 4212: 4186: 4183: 4178: 4174: 4167: 4164: 4144: 4141: 4114: 4111: 4096: 4092: 4076: 4056: 4053: 4050: 4043: 4042:Weyl fermions 4025: 4021: 4013: 3990: 3986: 3971: 3968: 3949: 3947: 3933: 3930: 3891: 3875: 3872: 3813: 3785: 3782: 3779: 3776: 3773: 3770: 3767: 3762: 3758: 3749: 3733: 3730: 3727: 3715: 3713: 3711: 3707: 3702: 3699: 3695: 3691: 3687: 3682: 3678: 3675: 3659: 3656: 3641: 3637: 3629: 3627: 3624: 3620: 3616: 3607: 3605: 3603: 3587: 3567: 3545: 3541: 3532: 3516: 3493: 3490: 3485: 3475: 3466: 3462: 3456: 3453: 3448: 3445: 3442: 3437: 3427: 3420: 3411: 3399: 3391: 3387: 3383: 3378: 3374: 3364: 3356: 3352: 3348: 3345: 3336: 3328: 3327: 3326: 3324: 3308: 3305: 3302: 3299: 3279: 3276: 3273: 3264: 3262: 3241: 3237: 3228: 3224: 3208: 3204: 3181: 3177: 3168: 3154: 3151: 3148: 3145: 3137: 3123: 3103: 3095: 3094: 3093: 3076: 3072: 3068: 3065: 3059: 3056: 3050: 3047: 3043: 3037: 3028: 3020: 3016: 3009: 3006: 3000: 2996: 2987: 2980: 2970: 2966: 2959: 2956: 2950: 2947: 2943: 2939: 2934: 2925: 2919: 2916: 2912: 2908: 2903: 2893: 2884: 2875: 2872: 2866: 2858: 2852: 2843: 2836: 2832: 2828: 2825: 2820: 2816: 2807: 2800: 2796: 2792: 2789: 2783: 2780: 2777: 2774: 2761: 2757: 2748: 2745: 2739: 2733: 2730: 2727: 2724: 2716: 2712: 2705: 2702: 2696: 2688: 2678: 2673: 2670: 2667: 2664: 2661: 2658: 2655: 2652: 2649: 2642: 2641: 2640: 2624: 2620: 2616: 2613: 2584: 2578: 2575: 2572: 2569: 2563: 2554: 2540: 2537: 2518: 2516: 2514: 2506: 2504: 2487: 2482: 2470: 2467: 2455: 2446: 2438: 2435: 2429: 2425: 2421: 2418: 2413: 2405: 2400: 2396: 2388: 2387: 2386: 2372: 2369: 2366: 2361: 2353: 2331: 2317: 2315: 2311: 2303: 2287: 2281: 2275: 2272: 2267: 2257: 2248: 2244: 2238: 2235: 2230: 2221: 2213: 2209: 2202: 2196: 2191: 2181: 2177: 2170: 2166: 2161: 2155: 2149: 2144: 2130: 2122: 2118: 2114: 2111: 2108: 2102: 2096: 2091: 2087: 2083: 2077: 2071: 2068: 2063: 2058: 2052: 2046: 2043: 2031: 2025: 2022: 2019: 2016: 2003: 2002: 2001: 1987: 1958: 1952: 1949: 1946: 1943: 1931: 1929: 1913: 1893: 1873: 1853: 1844: 1831: 1828: 1823: 1819: 1811: 1808: 1796: 1770: 1766: 1758:only through 1739: 1710: 1681: 1673: 1669: 1665: 1662: 1659: 1654: 1650: 1646: 1641: 1637: 1613: 1607: 1601: 1596: 1592: 1588: 1582: 1576: 1573: 1568: 1563: 1557: 1551: 1548: 1542: 1539: 1536: 1523: 1522: 1521: 1498: 1492: 1489: 1486: 1483: 1454: 1449: 1439: 1431: 1428: 1422: 1418: 1412: 1408: 1404: 1401: 1394: 1391: 1372: 1369: 1362: 1359: 1347: 1336: 1335: 1334: 1314: 1291: 1288: 1277: 1246: 1240: 1237: 1234: 1231: 1217: 1213: 1209: 1205: 1204:supersymmetry 1190: 1187: 1177: 1174: 1171: 1168: 1159: 1157: 1141: 1138: 1135: 1132: 1126: 1123: 1117: 1114: 1090: 1087: 1075: 1068: 1063: 1059: 1038: 1035: 1032: 1029: 1026: 1023: 1020: 998: 994: 985: 969: 966: 950: 936: 933: 923: 920: 917: 914: 902: 900: 898: 882: 879: 875: 866: 859: 856: 853: 849: 840: 833: 830: 827: 822: 818: 814: 810: 801: 794: 791: 788: 785: 758: 752: 747: 737: 728: 724: 720: 714: 707: 698: 685: 677: 673: 669: 663: 657: 654: 649: 639: 632: 626: 619: 610: 601: 591: 584: 578: 572: 567: 563: 559: 553: 545: 541: 537: 532: 528: 518: 512: 506: 499: 490: 477: 471: 465: 459: 456: 453: 447: 441: 438: 426: 420: 417: 414: 411: 398: 397: 396: 382: 379: 369: 366: 363: 360: 331: 325: 322: 319: 316: 301: 299: 291: 289: 275: 272: 262: 259: 256: 253: 245: 240: 238: 237:Lorentz group 234: 230: 226: 222: 206: 203: 193: 190: 187: 184: 164: 161: 151: 148: 145: 142: 130: 128: 126: 122: 118: 114: 110: 102: 100: 98: 94: 89: 87: 83: 79: 78:superpartners 75: 70: 68: 64: 60: 56: 51: 49: 45: 41: 37: 33: 19: 4952:Supergravity 4845:Localization 4835:Witten index 4810:Moduli space 4774: 4704:Superalgebra 4671:Supergravity 4585: 4574: 4543: 4539: 4513: 4501:. Retrieved 4481: 4477: 4467: 4435:. Retrieved 4404: 4397: 4352: 4321: 4281: 4277: 4246: 3988: 3984: 3953: 3888:, while for 3719: 3710:Fayet (1976) 3705: 3703: 3697: 3693: 3680: 3676: 3635: 3633: 3611: 3531:superpartner 3508: 3265: 3258: 3091: 2555: 2522: 2510: 2502: 2318: 2313: 2309: 2307: 1932: 1845: 1628: 1469: 1211: 1207: 1160: 951: 906: 777: 302: 295: 243: 241: 134: 125:Bruno Zumino 106: 90: 71: 54: 52: 35: 29: 5092:Researchers 5078:Stop squark 5043:Graviscalar 5038:Graviphoton 4902:Wess–Zumino 4765:Supercharge 4244:concisely. 4095:gauge group 4012:gauge field 4010:contains a 3227:gauge field 1216:pulled back 897:irreducible 221:gauge boson 121:Julius Wess 109:Abdus Salam 5139:Iliopoulos 5083:Superghost 5073:Sgoldstino 5058:Neutralino 4850:Mu problem 4770:R-symmetry 4734:Superspace 4729:Supergroup 4389:References 3684:, a Dirac 2346:satisfies 984:superspace 59:superspace 55:superfield 18:Superfield 5109:Batchelor 5033:Goldstino 4922:Super QCD 4800:FI D-term 4785:BPS state 4525:1011.1491 4457:ignored ( 4447:cite book 4225:ψ 4219:ϕ 4210:Φ 4187:λ 4179:μ 4077:ϕ 4057:ψ 4051:λ 4026:μ 3998:Ψ 3783:⋯ 3690:auxiliary 3546:μ 3517:λ 3479:¯ 3476:θ 3463:θ 3446:λ 3443:θ 3431:¯ 3428:θ 3415:¯ 3412:λ 3403:¯ 3400:θ 3388:θ 3379:μ 3368:¯ 3365:θ 3357:μ 3353:σ 3349:θ 3280:χ 3242:μ 3209:α 3205:λ 3182:α 3178:χ 3066:◻ 3032:¯ 3029:θ 3017:θ 2991:¯ 2988:χ 2981:μ 2977:∂ 2971:μ 2967:σ 2948:λ 2940:θ 2929:¯ 2926:θ 2917:− 2909:χ 2904:μ 2900:∂ 2894:μ 2888:¯ 2885:σ 2862:¯ 2859:λ 2847:¯ 2844:θ 2833:θ 2821:μ 2811:¯ 2808:θ 2801:μ 2797:σ 2793:θ 2790:− 2778:− 2767:¯ 2758:θ 2740:− 2713:θ 2692:¯ 2689:χ 2682:¯ 2679:θ 2671:− 2668:χ 2665:θ 2625:† 2588:¯ 2585:θ 2576:θ 2483:μ 2479:∂ 2471:˙ 2468:α 2459:¯ 2456:θ 2447:μ 2439:˙ 2436:α 2430:α 2426:σ 2414:α 2410:∂ 2401:α 2362:† 2358:Φ 2332:† 2328:Φ 2276:ϕ 2273:◻ 2261:¯ 2258:θ 2245:θ 2231:− 2225:¯ 2222:θ 2214:μ 2210:σ 2197:ψ 2192:μ 2188:∂ 2178:θ 2162:− 2150:ϕ 2145:μ 2141:∂ 2134:¯ 2131:θ 2123:μ 2119:σ 2115:θ 2088:θ 2072:ψ 2069:θ 2047:ϕ 2035:¯ 2032:θ 2023:θ 2011:Φ 1962:¯ 1959:θ 1950:θ 1874:ψ 1854:ϕ 1824:μ 1812:˙ 1809:α 1800:¯ 1771:μ 1743:¯ 1740:θ 1714:¯ 1711:θ 1685:¯ 1682:θ 1674:μ 1670:σ 1666:θ 1655:μ 1642:μ 1593:θ 1577:ψ 1574:θ 1552:ϕ 1543:θ 1531:Φ 1502:¯ 1499:θ 1490:θ 1478:Φ 1450:μ 1446:∂ 1440:μ 1432:˙ 1429:α 1423:α 1419:σ 1413:α 1409:θ 1402:− 1395:˙ 1392:α 1383:¯ 1380:∂ 1373:− 1363:˙ 1360:α 1351:¯ 1318:¯ 1286:Φ 1281:¯ 1250:¯ 1247:θ 1238:θ 1226:Φ 1127:˙ 1124:α 1115:α 1091:˙ 1088:α 1079:¯ 1076:θ 1064:α 1060:θ 1033:… 1021:μ 999:μ 870:¯ 867:ξ 857:ξ 844:¯ 823:μ 805:¯ 802:χ 792:χ 786:ϕ 741:¯ 738:θ 725:θ 702:¯ 699:ξ 689:¯ 686:θ 674:θ 658:ξ 655:θ 643:¯ 640:θ 614:¯ 595:¯ 592:θ 564:θ 546:μ 538:θ 533:μ 529:σ 522:¯ 519:θ 494:¯ 491:χ 481:¯ 478:θ 460:χ 457:θ 442:ϕ 430:¯ 427:θ 418:θ 406:Φ 335:¯ 332:θ 323:θ 311:Φ 246:, and in 239:changes. 97:operators 74:particles 5204:Category 5144:Montonen 5068:Sfermion 5063:R-hadron 5048:Higgsino 5023:Chargino 4912:4D N = 1 4869:Theorems 4758:Concepts 4367:See also 3560:, while 1906:, named 1304:, where 876:′ 850:′ 811:′ 708:′ 620:′ 500:′ 229:graviton 86:fermions 5159:Seiberg 5134:Golfand 5114:Berezin 5099:Affleck 5028:Gaugino 4568:0416304 4548:Bibcode 4503:3 April 4486:Bibcode 4437:3 April 4410:Bibcode 3674:scalars 3608:Scalars 3529:is the 103:History 63:section 53:Then a 5189:Zumino 5184:Witten 5174:Rogers 5164:Siegel 5104:Bagger 4805:F-term 4795:D-term 4566:  4428:  4383:F-term 4378:D-term 4040:, two 3985:vector 3686:spinor 3602:D-term 2385:where 1928:F-term 1629:where 1156:spinor 778:where 225:spinor 82:bosons 80:where 65:of an 5169:Roček 5154:Salam 5149:Olive 5129:Gates 5124:Fayet 5018:Axino 4932:NMSSM 4598:arXiv 4520:arXiv 4318:N = 4 4093:of a 3950:N = 2 3619:torus 3509:Then 1107:with 42:of a 38:is a 5179:Wess 5119:Dine 4927:MSSM 4505:2023 4459:help 4439:2023 4426:ISBN 4322:The 4247:The 3954:The 3292:and 3196:and 3116:and 1206:, a 298:2001 123:and 111:and 34:, a 5053:LSP 4556:doi 4544:113 4494:doi 4418:doi 4357:CPT 4280:or 3987:or 3916:is 3858:is 3533:of 1161:In 353:in 300:). 30:In 5206:: 4588:, 4577:, 4564:MR 4562:, 4554:, 4542:, 4492:. 4482:51 4480:. 4476:. 4451:: 4449:}} 4445:{{ 4424:. 4416:. 4363:. 3946:. 3701:. 3634:A 3604:. 3341:WZ 3263:. 3229:) 2515:. 2316:. 2000:: 1832:0. 1013:, 127:. 119:, 99:. 88:. 69:. 50:. 4634:e 4627:t 4620:v 4606:. 4600:: 4592:. 4581:. 4558:: 4550:: 4528:. 4522:: 4507:. 4496:: 4488:: 4461:) 4441:. 4420:: 4412:: 4340:4 4337:= 4332:N 4302:1 4299:= 4294:N 4265:2 4262:= 4257:N 4228:) 4222:, 4216:( 4213:= 4190:) 4184:, 4175:A 4171:( 4168:= 4165:W 4145:1 4142:= 4137:N 4115:1 4112:= 4107:N 4054:, 4022:A 3972:2 3969:= 3964:N 3934:4 3931:= 3926:N 3902:N 3876:8 3873:= 3868:N 3844:N 3819:N 3814:2 3791:N 3786:, 3780:, 3777:1 3774:= 3771:A 3768:, 3763:A 3759:Q 3734:4 3731:= 3728:d 3706:N 3698:i 3694:F 3681:i 3677:A 3660:2 3657:= 3652:N 3588:D 3568:D 3542:A 3494:. 3491:D 3486:2 3467:2 3457:2 3454:1 3449:+ 3438:2 3421:+ 3392:2 3384:+ 3375:A 3346:= 3337:V 3309:N 3306:i 3303:+ 3300:M 3277:, 3274:C 3238:A 3155:N 3152:i 3149:+ 3146:M 3124:D 3104:C 3077:. 3073:) 3069:C 3060:2 3057:1 3051:+ 3048:D 3044:( 3038:2 3021:2 3010:2 3007:1 3001:+ 2997:) 2960:2 2957:i 2951:+ 2944:( 2935:2 2920:i 2913:) 2876:2 2873:i 2867:+ 2853:( 2837:2 2829:i 2826:+ 2817:A 2787:) 2784:N 2781:i 2775:M 2772:( 2762:2 2749:2 2746:i 2737:) 2734:N 2731:i 2728:+ 2725:M 2722:( 2717:2 2706:2 2703:i 2697:+ 2674:i 2662:i 2659:+ 2656:C 2653:= 2650:V 2621:V 2617:= 2614:V 2594:) 2579:, 2573:, 2570:x 2567:( 2564:V 2541:1 2538:= 2533:N 2488:. 2422:i 2419:+ 2406:= 2397:D 2373:, 2370:0 2367:= 2354:D 2288:. 2285:) 2282:x 2279:( 2268:2 2249:2 2239:4 2236:1 2206:) 2203:x 2200:( 2182:2 2171:2 2167:i 2159:) 2156:x 2153:( 2112:i 2109:+ 2106:) 2103:x 2100:( 2097:F 2092:2 2084:+ 2081:) 2078:x 2075:( 2064:2 2059:+ 2056:) 2053:x 2050:( 2044:= 2041:) 2026:, 2020:, 2017:x 2014:( 1988:y 1968:) 1953:, 1947:, 1944:x 1941:( 1914:F 1894:F 1829:= 1820:y 1797:D 1767:y 1663:i 1660:+ 1651:x 1647:= 1638:y 1614:, 1611:) 1608:y 1605:( 1602:F 1597:2 1589:+ 1586:) 1583:y 1580:( 1569:2 1564:+ 1561:) 1558:y 1555:( 1549:= 1546:) 1540:, 1537:y 1534:( 1508:) 1493:, 1487:, 1484:x 1481:( 1455:. 1405:i 1370:= 1348:D 1315:D 1292:0 1289:= 1278:D 1256:) 1241:, 1235:, 1232:x 1229:( 1191:1 1188:= 1183:N 1178:, 1175:4 1172:= 1169:d 1142:2 1139:, 1136:1 1133:= 1118:, 1069:, 1039:3 1036:, 1030:, 1027:0 1024:= 995:x 970:1 967:= 962:N 937:1 934:= 929:N 924:, 921:4 918:= 915:d 883:D 880:, 860:, 854:, 841:F 834:, 831:F 828:, 819:V 815:, 795:, 789:, 774:, 762:) 759:x 756:( 753:D 748:2 729:2 721:+ 718:) 715:x 712:( 678:2 670:+ 667:) 664:x 661:( 650:2 633:+ 630:) 627:x 624:( 611:F 602:2 585:+ 582:) 579:x 576:( 573:F 568:2 560:+ 557:) 554:x 551:( 542:V 513:+ 510:) 507:x 504:( 472:+ 469:) 466:x 463:( 454:+ 451:) 448:x 445:( 439:= 436:) 421:, 415:, 412:x 409:( 383:1 380:= 375:N 370:, 367:4 364:= 361:d 341:) 326:, 320:, 317:x 314:( 276:2 273:= 268:N 263:, 260:4 257:= 254:d 207:2 204:= 199:N 194:, 191:4 188:= 185:d 165:1 162:= 157:N 152:, 149:4 146:= 143:d 20:)

Index

Superfield
theoretical physics
representation
supersymmetry algebra
extended supersymmetry
superspace
section
associated supermultiplet bundle
particles
superpartners
bosons
fermions
quantum field theories
operators
Abdus Salam
J. A. Strathdee
Sergio Ferrara
Julius Wess
Bruno Zumino
gauge boson
spinor
graviton
dimensional reduction
Lorentz group
2001
irreducible
superspace
spinor
supersymmetry
pulled back

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