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Supermultiplet

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3076: 2634: 3071:{\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).} 761: 2287: 390: 1995: 3493: 756:{\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)} 2282:{\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).} 1454: 2487: 3320: 882: 3601:
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
1613: 1328: 3614:
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.
1687: 1094: 2380: 3488:{\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.} 1831: 1507: 1255: 340: 3792: 2593: 1967: 1141: 1291: 4189: 2372: 1190: 936: 382: 275: 206: 164: 4227: 3210: 4339: 4301: 4264: 4144: 4114: 3971: 3933: 3875: 3821: 3659: 2540: 2333: 1745: 1716: 1038: 969: 3183: 4056: 3903: 3845: 2626: 1320: 50:
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
3279: 4869: 4076: 3997: 1873: 1853: 3308: 3154: 4621: 3733: 4920: 3587: 3567: 3123: 3103: 1987: 1913: 1893: 770: 4905: 4895: 4349: 1449:{\displaystyle {\bar {D}}_{\dot {\alpha }}=-{\bar {\partial }}_{\dot {\alpha }}-i\theta ^{\alpha }\sigma _{\alpha {\dot {\alpha }}}^{\mu }\partial _{\mu }.} 1515: 4874: 1621: 4915: 4418: 4925: 2482:{\displaystyle D_{\alpha }=\partial _{\alpha }+i\sigma _{\alpha {\dot {\alpha }}}^{\mu }{\bar {\theta }}^{\dot {\alpha }}\partial _{\mu }.} 4507:
Krippendorf, Sven; Quevedo, Fernando; Schlotterer, Oliver (5 November 2010). "Cambridge Lectures on Supersymmetry and Extra Dimensions".
1043: 4614: 5041: 4930: 4654: 4968: 4963: 3611: 4900: 1777: 4607: 3736: 1203:. There exists a projection from the (full) superspace to chiral superspace. So, a function over chiral superspace can be 208:
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
4843: 55: 3701:; this term has been abandoned, but the name "hypermultiplet" for some of its representations is still used. 1260: 4149: 5198: 4953: 4803: 4707: 4079: 2338: 1153: 899: 345: 238: 169: 127: 81: 51: 36: 4890: 4828: 4194: 2501: 4983: 4978: 4732: 4712: 3628: 3188: 1204: 221: 32: 4392: 4314: 4276: 4239: 4119: 4089: 3946: 3908: 3850: 3797: 3634: 2515: 2311: 1721: 1692: 1005: 944: 4768: 4717: 4536: 4474: 4398: 3709:
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.
3823:. For supermultiplets representing massless particles, on physical grounds the maximum allowed 4414: 4005: 3525: 3501: 3311: 3221: 1750: 978: 3258: 2492:
An antichiral superfield can be constructed as the complex conjugate of a chiral superfield.
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construction in the sense that there is a vacuum vector annihilated by the supercharges
877:{\displaystyle \phi ,\chi ,{\bar {\chi }}',V_{\mu },F,{\bar {F}}',\xi ,{\bar {\xi }}',D} 5147: 5132: 4778: 3572: 3552: 3108: 3088: 1972: 1898: 1878: 105: 4462: 5192: 5172: 5152: 5102: 4737: 4674: 4644: 4630: 4567: 4548: 4486: 1608:{\displaystyle \Phi (y,\theta )=\phi (y)+{\sqrt {2}}\theta \psi (y)+\theta ^{2}F(y),} 1192: 225: 65:. It is a feature of supersymmetric field theories that particles form pairs, called 124:
The most commonly used supermultiplets are vector multiplets, chiral multiplets (in
5177: 5162: 5122: 5112: 5107: 4998: 4940: 4823: 4692: 4659: 4345: 4030: 3674: 3662: 3519: 113: 66: 5167: 5142: 5137: 5087: 5066: 5031: 5026: 4753: 4083: 4000: 3215: 209: 109: 97: 4410: 5071: 5061: 5046: 4838: 4758: 4722: 972: 47: 5117: 5021: 4910: 62: 4578: 5056: 5051: 5036: 5011: 285:
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
1682:{\displaystyle y^{\mu }=x^{\mu }+i\theta \sigma ^{\mu }{\bar {\theta }}} 5016: 4591: 4793: 4783: 4371: 4366: 3590: 1922:
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
1689:. The superfield is independent of the 'conjugate spin coordinates' 224:, although the organization of the fields as representations of the 3610:
is a vector multiplet containing d real scalars. Similarly, in an
1875:
is a Weyl spinor. There is also the auxiliary complex scalar field
1089:{\displaystyle \theta _{\alpha },{\bar {\theta }}^{\dot {\alpha }}} 5006: 4513: 3693:
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
3314:. In this gauge, the expansion takes on the much simpler form 80:
These supersymmetric fields are used to build supersymmetric
4320: 4282: 4245: 4125: 4095: 3952: 3914: 3890: 3856: 3832: 3807: 3779: 3640: 2521: 1171: 950: 917: 363: 256: 187: 145: 2301:, which is the complex conjugate of chiral superspace, and 212:, the highest component of a chiral or hypermultiplet is a 3569:
is an auxiliary scalar field. It is conventionally called
1322:
is the covariant derivative, given in index notation as
975:. Superspace contains the usual space-time coordinates 3661:
supersymmetry in 4 dimensions, containing two complex
3043: 2993: 2943: 2859: 2732: 2689: 1826:{\displaystyle {\bar {D}}_{\dot {\alpha }}y^{\mu }=0.} 286: 4461:
Ferrara, Sergio; Wess, Julius; Zumino, Bruno (1974).
4317: 4279: 4242: 4197: 4152: 4122: 4092: 4064: 4038: 4008: 3985: 3949: 3911: 3887: 3853: 3829: 3800: 3745: 3715: 3637: 3606:, while its dimensional reduction on a d-dimensional 3575: 3555: 3528: 3504: 3323: 3287: 3261: 3224: 3191: 3164: 3133: 3111: 3091: 2637: 2601: 2551: 2518: 2383: 2341: 2314: 1998: 1975: 1928: 1901: 1881: 1861: 1841: 1780: 1753: 1724: 1695: 1624: 1518: 1465: 1331: 1299: 1263: 1213: 1156: 1102: 1046: 1008: 981: 947: 902: 773: 393: 348: 298: 241: 220:. The names are defined so as to be invariant under 172: 130: 61:
Phenomenologically, superfields are used to describe
216:, the highest component of a gravity multiplet is a 5080: 4997: 4939: 4883: 4857: 4746: 4683: 4637: 4333: 4295: 4258: 4221: 4183: 4138: 4108: 4070: 4050: 4021: 3991: 3965: 3927: 3897: 3869: 3839: 3815: 3786: 3727: 3653: 3581: 3561: 3541: 3510: 3487: 3302: 3273: 3237: 3204: 3177: 3148: 3117: 3097: 3070: 2620: 2587: 2534: 2481: 2366: 2327: 2281: 1981: 1961: 1907: 1887: 1867: 1847: 1825: 1766: 1739: 1710: 1681: 1607: 1501: 1448: 1314: 1285: 1249: 1184: 1135: 1088: 1032: 994: 963: 930: 896:A (anti-)chiral superfield is a supermultiplet of 876: 755: 376: 334: 269: 200: 158: 1502:{\displaystyle \Phi (x,\theta ,{\bar {\theta }})} 1250:{\displaystyle \Phi (x,\theta ,{\bar {\theta }})} 971:supersymmetry may be written using the notion of 335:{\displaystyle \Phi (x,\theta ,{\bar {\theta }})} 3787:{\displaystyle Q^{A},A=1,\cdots ,{\mathcal {N}}} 1919:which plays an important role in some theories. 166:supersymmetry for example), hypermultiplets (in 4527:Fayet, P. (1976), "Fermi-Bose hypersymmetry", 4086:). These can also be organised into a pair of 4615: 2588:{\displaystyle V(x,\theta ,{\bar {\theta }})} 2512:The vector superfield is a supermultiplet of 884:are different complex fields. This is not an 16:A representation of the supersymmetry algebra 8: 1962:{\displaystyle (x,\theta ,{\bar {\theta }})} 1136:{\displaystyle \alpha ,{\dot {\alpha }}=1,2} 4575:N=2 supersymmetric dynamics for pedestrians 3627:is a type of representation of an extended 4622: 4608: 4600: 1835:The expansion has the interpretation that 4590: 4512: 4319: 4318: 4316: 4281: 4280: 4278: 4244: 4243: 4241: 4229:. Such a multiplet can be used to define 4196: 4166: 4151: 4124: 4123: 4121: 4094: 4093: 4091: 4063: 4037: 4013: 4007: 3984: 3951: 3950: 3948: 3913: 3912: 3910: 3889: 3888: 3886: 3855: 3854: 3852: 3831: 3830: 3828: 3806: 3805: 3799: 3778: 3777: 3750: 3744: 3714: 3639: 3638: 3636: 3574: 3554: 3533: 3527: 3503: 3473: 3462: 3461: 3454: 3440: 3425: 3414: 3413: 3398: 3397: 3386: 3385: 3379: 3366: 3351: 3350: 3344: 3328: 3322: 3286: 3260: 3229: 3223: 3196: 3190: 3169: 3163: 3132: 3110: 3090: 3042: 3025: 3015: 3008: 2992: 2974: 2968: 2958: 2942: 2922: 2912: 2891: 2881: 2871: 2858: 2845: 2830: 2824: 2808: 2794: 2788: 2749: 2743: 2731: 2704: 2688: 2675: 2665: 2636: 2612: 2600: 2571: 2570: 2550: 2520: 2519: 2517: 2470: 2454: 2453: 2442: 2441: 2434: 2422: 2421: 2417: 2401: 2388: 2382: 2349: 2340: 2319: 2313: 2255: 2244: 2243: 2236: 2222: 2208: 2207: 2201: 2179: 2169: 2153: 2132: 2117: 2116: 2110: 2079: 2050: 2018: 2017: 1997: 1974: 1945: 1944: 1927: 1900: 1880: 1860: 1840: 1811: 1795: 1794: 1783: 1782: 1779: 1758: 1752: 1726: 1725: 1723: 1697: 1696: 1694: 1668: 1667: 1661: 1642: 1629: 1623: 1584: 1555: 1517: 1485: 1484: 1464: 1437: 1427: 1415: 1414: 1410: 1400: 1378: 1377: 1366: 1365: 1346: 1345: 1334: 1333: 1330: 1301: 1300: 1298: 1264: 1262: 1233: 1232: 1212: 1170: 1169: 1155: 1143:, transforming as a two-component (Weyl) 1110: 1109: 1101: 1074: 1073: 1062: 1061: 1051: 1045: 1007: 986: 980: 949: 948: 946: 916: 915: 901: 853: 852: 827: 826: 810: 788: 787: 772: 735: 724: 723: 716: 685: 684: 672: 671: 665: 637: 626: 625: 597: 596: 589: 578: 577: 555: 533: 520: 505: 504: 477: 476: 464: 463: 413: 412: 392: 362: 361: 347: 318: 317: 297: 281:Superfields in d = 4, N = 1 supersymmetry 255: 254: 240: 186: 185: 171: 144: 143: 129: 4391:Salam, Abdus; Strathdee, J. (May 1994). 3631:, in particular the matter multiplet of 3255:Using gauge transformations, the fields 1207:to the full superspace. Such a function 4463:"Supergauge multiplets and superfields" 4383: 1040:, and four extra fermionic coordinates 4443: 4433: 4350:N = 4 supersymmetric Yang–Mills theory 2595:which satisfies the reality condition 1286:{\displaystyle {\overline {D}}\Phi =0} 4184:{\displaystyle W=(A_{\mu },\lambda )} 3698: 3310:can be set to zero. This is known as 7: 2628:. Such a field admits the expansion 2367:{\displaystyle D\Phi ^{\dagger }=0,} 1185:{\displaystyle d=4,{\mathcal {N}}=1} 931:{\displaystyle d=4,{\mathcal {N}}=1} 377:{\displaystyle d=4,{\mathcal {N}}=1} 270:{\displaystyle d=4,{\mathcal {N}}=2} 201:{\displaystyle d=4,{\mathcal {N}}=2} 159:{\displaystyle d=4,{\mathcal {N}}=1} 4222:{\displaystyle \Phi =(\phi ,\psi )} 1969:by substituting the expression for 1257:satisfies the covariant constraint 84:, where the fields are promoted to 4198: 3986: 3205:{\displaystyle \lambda ^{\alpha }} 2965: 2888: 2467: 2398: 2346: 2316: 2176: 2129: 1999: 1519: 1466: 1434: 1368: 1274: 1214: 394: 299: 14: 4397:. Vol. 5. pp. 404–409. 3735:case. These are constructed by a 3705:Extended supersymmetry (N > 1) 384:supersymmetry can be expanded as 4655:Supersymmetric quantum mechanics 4334:{\displaystyle {\mathcal {N}}=4} 4296:{\displaystyle {\mathcal {N}}=1} 4259:{\displaystyle {\mathcal {N}}=2} 4139:{\displaystyle {\mathcal {N}}=1} 4109:{\displaystyle {\mathcal {N}}=1} 3966:{\displaystyle {\mathcal {N}}=2} 3928:{\displaystyle {\mathcal {N}}=4} 3870:{\displaystyle {\mathcal {N}}=8} 3816:{\displaystyle 2^{\mathcal {N}}} 3654:{\displaystyle {\mathcal {N}}=2} 2535:{\displaystyle {\mathcal {N}}=1} 2328:{\displaystyle \Phi ^{\dagger }} 1740:{\displaystyle {\bar {\theta }}} 1718:in the sense that it depends on 1711:{\displaystyle {\bar {\theta }}} 1033:{\displaystyle \mu =0,\ldots ,3} 964:{\displaystyle {\mathcal {N}}=1} 941:In four dimensions, the minimal 56:associated supermultiplet bundle 3178:{\displaystyle \chi _{\alpha }} 2496:Actions from chiral superfields 96:Superfields were introduced by 4216: 4204: 4178: 4159: 4051:{\displaystyle \lambda ,\psi } 3898:{\displaystyle {\mathcal {N}}} 3840:{\displaystyle {\mathcal {N}}} 3467: 3419: 3403: 3391: 3356: 2775: 2760: 2725: 2710: 2621:{\displaystyle V=V^{\dagger }} 2582: 2576: 2555: 2447: 2273: 2267: 2249: 2213: 2194: 2188: 2147: 2141: 2122: 2094: 2088: 2069: 2063: 2044: 2038: 2029: 2023: 2002: 1956: 1950: 1929: 1788: 1731: 1702: 1673: 1599: 1593: 1574: 1568: 1549: 1543: 1534: 1522: 1496: 1490: 1469: 1371: 1339: 1306: 1244: 1238: 1217: 1067: 858: 832: 793: 750: 744: 729: 706: 700: 690: 677: 655: 649: 631: 618: 612: 602: 583: 570: 564: 545: 539: 510: 498: 492: 482: 469: 457: 451: 439: 433: 424: 418: 397: 329: 323: 302: 1: 4078:(which also transform in the 3737:highest-weight representation 292:A general complex superfield 4549:10.1016/0550-3213(76)90458-2 4487:10.1016/0370-2693(74)90283-4 4348:conjugates. This appears in 3794:. The irreps have dimension 3020: 2979: 2917: 2876: 2850: 2835: 2799: 2755: 2680: 2670: 1269: 4650:Supersymmetric gauge theory 4394:Super-Gauge Transformations 4362:Supersymmetric gauge theory 3250:supersymmetric gauge theory 3081:The constituent fields are 1915:by convention: this is the 1855:is a complex scalar field, 5215: 4949:Pure 4D N = 1 supergravity 4411:10.1142/9789812795915_0047 1315:{\displaystyle {\bar {D}}} 4849:Electric–magnetic duality 3697:=2 supersymmetry used by 2308:An antichiral superfield 2297:Similarly, there is also 1774:. It can be checked that 120:Naming and classification 4870:Haag–ƁopuszaƄski–Sohnius 4844:Little hierarchy problem 4022:{\displaystyle A_{\mu }} 3542:{\displaystyle A_{\mu }} 3511:{\displaystyle \lambda } 3238:{\displaystyle A_{\mu }} 1767:{\displaystyle y^{\mu }} 1509:can then be expanded as 995:{\displaystyle x^{\mu }} 4926:6D (2,0) superconformal 3274:{\displaystyle C,\chi } 3158:Two Weyl spinor fields 3127:A complex scalar field 3085:Two real scalar fields 4906:N = 4 super Yang–Mills 4896:N = 1 super Yang–Mills 4804:Supersymmetry breaking 4708:Superconformal algebra 4703:Super-PoincarĂ© algebra 4564:A Supersymmetry Primer 4335: 4297: 4260: 4223: 4185: 4140: 4110: 4080:adjoint representation 4072: 4052: 4023: 3993: 3967: 3929: 3899: 3881:, the maximum allowed 3871: 3841: 3817: 3788: 3729: 3655: 3589:, and is known as the 3583: 3563: 3543: 3512: 3489: 3304: 3275: 3239: 3206: 3179: 3150: 3119: 3099: 3072: 2622: 2589: 2536: 2483: 2368: 2329: 2303:antichiral superfields 2293:Antichiral superfields 2283: 1983: 1963: 1909: 1889: 1869: 1849: 1827: 1768: 1741: 1712: 1683: 1609: 1503: 1450: 1316: 1287: 1251: 1186: 1137: 1090: 1034: 996: 965: 932: 878: 757: 378: 336: 271: 202: 160: 82:quantum field theories 37:extended supersymmetry 4984:Type IIB supergravity 4979:Type IIA supergravity 4954:4D N = 1 supergravity 4819:Seiberg–Witten theory 4733:Super Minkowski space 4713:Supersymmetry algebra 4336: 4298: 4261: 4231:Seiberg–Witten theory 4224: 4191:and chiral multiplet 4186: 4141: 4111: 4073: 4071:{\displaystyle \phi } 4053: 4024: 3994: 3992:{\displaystyle \Psi } 3968: 3930: 3900: 3872: 3842: 3818: 3789: 3730: 3656: 3629:supersymmetry algebra 3612:11-dimensional theory 3584: 3564: 3544: 3513: 3490: 3305: 3276: 3240: 3214:A real vector field ( 3207: 3180: 3151: 3120: 3100: 3073: 2623: 2590: 2537: 2484: 2369: 2330: 2299:antichiral superspace 2284: 1984: 1964: 1910: 1890: 1870: 1868:{\displaystyle \psi } 1850: 1848:{\displaystyle \phi } 1828: 1769: 1742: 1713: 1684: 1610: 1504: 1451: 1317: 1288: 1252: 1187: 1138: 1091: 1035: 997: 966: 933: 879: 758: 379: 337: 272: 222:dimensional reduction 203: 161: 33:supersymmetry algebra 4769:Short supermultiplet 4568:arXiv:hep-ph/9709356 4315: 4277: 4240: 4195: 4150: 4120: 4090: 4062: 4036: 4006: 3983: 3947: 3909: 3885: 3851: 3827: 3798: 3743: 3713: 3635: 3604:Majorana–Weyl spinor 3573: 3553: 3526: 3502: 3321: 3303:{\displaystyle M+iN} 3285: 3259: 3222: 3189: 3162: 3149:{\displaystyle M+iN} 3131: 3109: 3089: 2635: 2599: 2549: 2516: 2381: 2339: 2312: 1996: 1973: 1926: 1899: 1879: 1859: 1839: 1778: 1751: 1722: 1693: 1622: 1516: 1463: 1459:A chiral superfield 1329: 1297: 1261: 1211: 1154: 1100: 1044: 1006: 979: 945: 900: 771: 391: 346: 296: 239: 170: 128: 4989:Gauged supergravity 4974:Type I supergravity 4931:ABJM superconformal 4728:Harmonic superspace 4562:Stephen P. Martin. 4541:1976NuPhB.113..135F 4479:1974PhLB...51..239F 4403:1994spas.book..404S 4303:chiral multiplets. 3728:{\displaystyle d=4} 3677:ψ, and two further 2439: 1432: 1199:is a function over 1147:and its conjugate. 21:theoretical physics 4964:Higher dimensional 4959:N = 8 supergravity 4875:Nonrenormalization 4670:Super vector space 4665:Superstring theory 4331: 4293: 4256: 4219: 4181: 4136: 4106: 4068: 4048: 4019: 3989: 3963: 3925: 3895: 3867: 3837: 3813: 3784: 3725: 3651: 3579: 3559: 3539: 3508: 3485: 3300: 3271: 3235: 3202: 3175: 3146: 3115: 3095: 3068: 3052: 3002: 2952: 2868: 2741: 2698: 2618: 2585: 2532: 2479: 2413: 2364: 2325: 2279: 1979: 1959: 1905: 1885: 1865: 1845: 1823: 1764: 1737: 1708: 1679: 1605: 1499: 1446: 1406: 1312: 1283: 1247: 1182: 1133: 1086: 1030: 992: 961: 928: 874: 753: 374: 332: 267: 198: 156: 5186: 5185: 4829:Wess–Zumino gauge 4529:Nuclear Physics B 4420:978-981-02-1662-7 4146:vector multiplet 3879:renormalizability 3582:{\displaystyle D} 3562:{\displaystyle D} 3470: 3448: 3422: 3406: 3394: 3359: 3331: 3312:Wess-Zumino gauge 3118:{\displaystyle D} 3098:{\displaystyle C} 3051: 3023: 3001: 2982: 2951: 2920: 2879: 2867: 2853: 2838: 2802: 2758: 2740: 2697: 2683: 2673: 2579: 2508:Vector superfield 2502:Wess–Zumino model 2462: 2450: 2430: 2252: 2230: 2216: 2163: 2162: 2125: 2055: 2026: 1982:{\displaystyle y} 1953: 1908:{\displaystyle F} 1888:{\displaystyle F} 1803: 1791: 1734: 1705: 1676: 1560: 1493: 1423: 1386: 1374: 1354: 1342: 1309: 1272: 1241: 1201:chiral superspace 1197:chiral superfield 1118: 1082: 1070: 892:Chiral superfield 861: 835: 796: 732: 693: 680: 634: 605: 586: 513: 485: 472: 421: 326: 5206: 4969:11D supergravity 4698:Lie superalgebra 4685:Supermathematics 4624: 4617: 4610: 4601: 4596: 4594: 4573:Yuji Tachikawa. 4559: 4519: 4518: 4516: 4504: 4498: 4497: 4495: 4493: 4458: 4452: 4451: 4445: 4441: 4439: 4431: 4429: 4427: 4388: 4342:vector multiplet 4340: 4338: 4337: 4332: 4324: 4323: 4302: 4300: 4299: 4294: 4286: 4285: 4271:scalar multiplet 4265: 4263: 4262: 4257: 4249: 4248: 4228: 4226: 4225: 4220: 4190: 4188: 4187: 4182: 4171: 4170: 4145: 4143: 4142: 4137: 4129: 4128: 4115: 4113: 4112: 4107: 4099: 4098: 4077: 4075: 4074: 4069: 4057: 4055: 4054: 4049: 4028: 4026: 4025: 4020: 4018: 4017: 3998: 3996: 3995: 3990: 3978:chiral multiplet 3972: 3970: 3969: 3964: 3956: 3955: 3934: 3932: 3931: 3926: 3918: 3917: 3904: 3902: 3901: 3896: 3894: 3893: 3876: 3874: 3873: 3868: 3860: 3859: 3846: 3844: 3843: 3838: 3836: 3835: 3822: 3820: 3819: 3814: 3812: 3811: 3810: 3793: 3791: 3790: 3785: 3783: 3782: 3755: 3754: 3734: 3732: 3731: 3726: 3681:complex scalars 3660: 3658: 3657: 3652: 3644: 3643: 3588: 3586: 3585: 3580: 3568: 3566: 3565: 3560: 3548: 3546: 3545: 3540: 3538: 3537: 3517: 3515: 3514: 3509: 3494: 3492: 3491: 3486: 3478: 3477: 3472: 3471: 3463: 3459: 3458: 3449: 3441: 3430: 3429: 3424: 3423: 3415: 3408: 3407: 3399: 3396: 3395: 3387: 3384: 3383: 3371: 3370: 3361: 3360: 3352: 3349: 3348: 3333: 3332: 3329: 3309: 3307: 3306: 3301: 3280: 3278: 3277: 3272: 3244: 3242: 3241: 3236: 3234: 3233: 3211: 3209: 3208: 3203: 3201: 3200: 3184: 3182: 3181: 3176: 3174: 3173: 3155: 3153: 3152: 3147: 3124: 3122: 3121: 3116: 3104: 3102: 3101: 3096: 3077: 3075: 3074: 3069: 3064: 3060: 3053: 3044: 3030: 3029: 3024: 3016: 3013: 3012: 3003: 2994: 2988: 2984: 2983: 2975: 2973: 2972: 2963: 2962: 2953: 2944: 2927: 2926: 2921: 2913: 2904: 2900: 2896: 2895: 2886: 2885: 2880: 2872: 2869: 2860: 2854: 2846: 2839: 2831: 2829: 2828: 2813: 2812: 2803: 2795: 2793: 2792: 2759: 2754: 2753: 2744: 2742: 2733: 2709: 2708: 2699: 2690: 2684: 2676: 2674: 2666: 2627: 2625: 2624: 2619: 2617: 2616: 2594: 2592: 2591: 2586: 2581: 2580: 2572: 2541: 2539: 2538: 2533: 2525: 2524: 2488: 2486: 2485: 2480: 2475: 2474: 2465: 2464: 2463: 2455: 2452: 2451: 2443: 2438: 2433: 2432: 2431: 2423: 2406: 2405: 2393: 2392: 2373: 2371: 2370: 2365: 2354: 2353: 2334: 2332: 2331: 2326: 2324: 2323: 2288: 2286: 2285: 2280: 2260: 2259: 2254: 2253: 2245: 2241: 2240: 2231: 2223: 2218: 2217: 2209: 2206: 2205: 2184: 2183: 2174: 2173: 2164: 2158: 2154: 2137: 2136: 2127: 2126: 2118: 2115: 2114: 2084: 2083: 2056: 2051: 2028: 2027: 2019: 1988: 1986: 1985: 1980: 1968: 1966: 1965: 1960: 1955: 1954: 1946: 1914: 1912: 1911: 1906: 1894: 1892: 1891: 1886: 1874: 1872: 1871: 1866: 1854: 1852: 1851: 1846: 1832: 1830: 1829: 1824: 1816: 1815: 1806: 1805: 1804: 1796: 1793: 1792: 1784: 1773: 1771: 1770: 1765: 1763: 1762: 1746: 1744: 1743: 1738: 1736: 1735: 1727: 1717: 1715: 1714: 1709: 1707: 1706: 1698: 1688: 1686: 1685: 1680: 1678: 1677: 1669: 1666: 1665: 1647: 1646: 1634: 1633: 1614: 1612: 1611: 1606: 1589: 1588: 1561: 1556: 1508: 1506: 1505: 1500: 1495: 1494: 1486: 1455: 1453: 1452: 1447: 1442: 1441: 1431: 1426: 1425: 1424: 1416: 1405: 1404: 1389: 1388: 1387: 1379: 1376: 1375: 1367: 1357: 1356: 1355: 1347: 1344: 1343: 1335: 1321: 1319: 1318: 1313: 1311: 1310: 1302: 1292: 1290: 1289: 1284: 1273: 1265: 1256: 1254: 1253: 1248: 1243: 1242: 1234: 1191: 1189: 1188: 1183: 1175: 1174: 1142: 1140: 1139: 1134: 1120: 1119: 1111: 1095: 1093: 1092: 1087: 1085: 1084: 1083: 1075: 1072: 1071: 1063: 1056: 1055: 1039: 1037: 1036: 1031: 1001: 999: 998: 993: 991: 990: 970: 968: 967: 962: 954: 953: 937: 935: 934: 929: 921: 920: 883: 881: 880: 875: 867: 863: 862: 854: 841: 837: 836: 828: 815: 814: 802: 798: 797: 789: 762: 760: 759: 754: 740: 739: 734: 733: 725: 721: 720: 699: 695: 694: 686: 682: 681: 673: 670: 669: 642: 641: 636: 635: 627: 611: 607: 606: 598: 594: 593: 588: 587: 579: 560: 559: 538: 537: 525: 524: 515: 514: 506: 491: 487: 486: 478: 474: 473: 465: 423: 422: 414: 383: 381: 380: 375: 367: 366: 341: 339: 338: 333: 328: 327: 319: 276: 274: 273: 268: 260: 259: 233:scalar multiplet 207: 205: 204: 199: 191: 190: 165: 163: 162: 157: 149: 148: 73:are paired with 35:, possibly with 5214: 5213: 5209: 5208: 5207: 5205: 5204: 5203: 5189: 5188: 5187: 5182: 5076: 4993: 4935: 4879: 4865:Coleman–Mandula 4853: 4814:Seiberg duality 4809:Konishi anomaly 4742: 4679: 4633: 4628: 4584: 4579:arXiv:1312.2684 4526: 4523: 4522: 4506: 4505: 4501: 4491: 4489: 4460: 4459: 4455: 4442: 4432: 4425: 4423: 4421: 4390: 4389: 4385: 4380: 4358: 4313: 4312: 4309: 4275: 4274: 4238: 4237: 4193: 4192: 4162: 4148: 4147: 4118: 4117: 4116:multiplets, an 4088: 4087: 4060: 4059: 4058:, and a scalar 4034: 4033: 4009: 4004: 4003: 3981: 3980: 3945: 3944: 3941: 3907: 3906: 3883: 3882: 3849: 3848: 3825: 3824: 3801: 3796: 3795: 3746: 3741: 3740: 3711: 3710: 3707: 3689: 3672: 3633: 3632: 3621: 3599: 3571: 3570: 3551: 3550: 3529: 3524: 3523: 3500: 3499: 3460: 3450: 3412: 3375: 3362: 3340: 3324: 3319: 3318: 3283: 3282: 3257: 3256: 3225: 3220: 3219: 3192: 3187: 3186: 3165: 3160: 3159: 3129: 3128: 3107: 3106: 3087: 3086: 3035: 3031: 3014: 3004: 2964: 2954: 2935: 2931: 2911: 2887: 2870: 2844: 2840: 2820: 2804: 2784: 2745: 2700: 2633: 2632: 2608: 2597: 2596: 2547: 2546: 2542:supersymmetry. 2514: 2513: 2510: 2498: 2466: 2440: 2397: 2384: 2379: 2378: 2345: 2337: 2336: 2315: 2310: 2309: 2295: 2242: 2232: 2197: 2175: 2165: 2128: 2106: 2075: 1994: 1993: 1971: 1970: 1924: 1923: 1897: 1896: 1877: 1876: 1857: 1856: 1837: 1836: 1807: 1781: 1776: 1775: 1754: 1749: 1748: 1720: 1719: 1691: 1690: 1657: 1638: 1625: 1620: 1619: 1580: 1514: 1513: 1461: 1460: 1433: 1396: 1364: 1332: 1327: 1326: 1295: 1294: 1259: 1258: 1209: 1208: 1152: 1151: 1098: 1097: 1060: 1047: 1042: 1041: 1004: 1003: 982: 977: 976: 943: 942: 938:supersymmetry. 898: 897: 894: 851: 825: 806: 786: 769: 768: 722: 712: 683: 661: 624: 595: 576: 551: 529: 516: 475: 389: 388: 344: 343: 294: 293: 283: 237: 236: 168: 167: 126: 125: 122: 102:J. A. Strathdee 94: 17: 12: 11: 5: 5212: 5210: 5202: 5201: 5191: 5190: 5184: 5183: 5181: 5180: 5175: 5170: 5165: 5160: 5155: 5150: 5145: 5140: 5135: 5130: 5125: 5120: 5115: 5110: 5105: 5100: 5095: 5090: 5084: 5082: 5078: 5077: 5075: 5074: 5069: 5064: 5059: 5054: 5049: 5044: 5039: 5034: 5029: 5024: 5019: 5014: 5009: 5003: 5001: 4995: 4994: 4992: 4991: 4986: 4981: 4976: 4971: 4966: 4961: 4956: 4951: 4945: 4943: 4937: 4936: 4934: 4933: 4928: 4923: 4918: 4913: 4908: 4903: 4898: 4893: 4887: 4885: 4884:Field theories 4881: 4880: 4878: 4877: 4872: 4867: 4861: 4859: 4855: 4854: 4852: 4851: 4846: 4841: 4836: 4831: 4826: 4821: 4816: 4811: 4806: 4801: 4796: 4791: 4786: 4781: 4779:Superpotential 4776: 4771: 4766: 4764:Supermultiplet 4761: 4756: 4750: 4748: 4744: 4743: 4741: 4740: 4735: 4730: 4725: 4720: 4715: 4710: 4705: 4700: 4695: 4689: 4687: 4681: 4680: 4678: 4677: 4672: 4667: 4662: 4657: 4652: 4647: 4641: 4639: 4638:General topics 4635: 4634: 4629: 4627: 4626: 4619: 4612: 4604: 4598: 4597: 4592:hep-th/0109172 4582: 4571: 4560: 4535:(1): 135–155, 4521: 4520: 4499: 4473:(3): 239–241. 4453: 4444:|journal= 4419: 4382: 4381: 4379: 4376: 4375: 4374: 4369: 4364: 4357: 4354: 4330: 4327: 4322: 4308: 4305: 4292: 4289: 4284: 4267:hypermultiplet 4255: 4252: 4247: 4218: 4215: 4212: 4209: 4206: 4203: 4200: 4180: 4177: 4174: 4169: 4165: 4161: 4158: 4155: 4135: 4132: 4127: 4105: 4102: 4097: 4067: 4047: 4044: 4041: 4016: 4012: 3988: 3962: 3959: 3954: 3940: 3937: 3924: 3921: 3916: 3892: 3866: 3863: 3858: 3834: 3809: 3804: 3781: 3776: 3773: 3770: 3767: 3764: 3761: 3758: 3753: 3749: 3724: 3721: 3718: 3706: 3703: 3685: 3668: 3650: 3647: 3642: 3625:hypermultiplet 3620: 3619:Hypermultiplet 3617: 3598: 3595: 3578: 3558: 3536: 3532: 3507: 3496: 3495: 3484: 3481: 3476: 3469: 3466: 3457: 3453: 3447: 3444: 3439: 3436: 3433: 3428: 3421: 3418: 3411: 3405: 3402: 3393: 3390: 3382: 3378: 3374: 3369: 3365: 3358: 3355: 3347: 3343: 3339: 3336: 3327: 3299: 3296: 3293: 3290: 3270: 3267: 3264: 3246: 3245: 3232: 3228: 3212: 3199: 3195: 3172: 3168: 3156: 3145: 3142: 3139: 3136: 3125: 3114: 3094: 3079: 3078: 3067: 3063: 3059: 3056: 3050: 3047: 3041: 3038: 3034: 3028: 3022: 3019: 3011: 3007: 3000: 2997: 2991: 2987: 2981: 2978: 2971: 2967: 2961: 2957: 2950: 2947: 2941: 2938: 2934: 2930: 2925: 2919: 2916: 2910: 2907: 2903: 2899: 2894: 2890: 2884: 2878: 2875: 2866: 2863: 2857: 2852: 2849: 2843: 2837: 2834: 2827: 2823: 2819: 2816: 2811: 2807: 2801: 2798: 2791: 2787: 2783: 2780: 2777: 2774: 2771: 2768: 2765: 2762: 2757: 2752: 2748: 2739: 2736: 2730: 2727: 2724: 2721: 2718: 2715: 2712: 2707: 2703: 2696: 2693: 2687: 2682: 2679: 2672: 2669: 2664: 2661: 2658: 2655: 2652: 2649: 2646: 2643: 2640: 2615: 2611: 2607: 2604: 2584: 2578: 2575: 2569: 2566: 2563: 2560: 2557: 2554: 2531: 2528: 2523: 2509: 2506: 2497: 2494: 2490: 2489: 2478: 2473: 2469: 2461: 2458: 2449: 2446: 2437: 2429: 2426: 2420: 2416: 2412: 2409: 2404: 2400: 2396: 2391: 2387: 2363: 2360: 2357: 2352: 2348: 2344: 2322: 2318: 2294: 2291: 2290: 2289: 2278: 2275: 2272: 2269: 2266: 2263: 2258: 2251: 2248: 2239: 2235: 2229: 2226: 2221: 2215: 2212: 2204: 2200: 2196: 2193: 2190: 2187: 2182: 2178: 2172: 2168: 2161: 2157: 2152: 2149: 2146: 2143: 2140: 2135: 2131: 2124: 2121: 2113: 2109: 2105: 2102: 2099: 2096: 2093: 2090: 2087: 2082: 2078: 2074: 2071: 2068: 2065: 2062: 2059: 2054: 2049: 2046: 2043: 2040: 2037: 2034: 2031: 2025: 2022: 2016: 2013: 2010: 2007: 2004: 2001: 1978: 1958: 1952: 1949: 1943: 1940: 1937: 1934: 1931: 1904: 1884: 1864: 1844: 1822: 1819: 1814: 1810: 1802: 1799: 1790: 1787: 1761: 1757: 1733: 1730: 1704: 1701: 1675: 1672: 1664: 1660: 1656: 1653: 1650: 1645: 1641: 1637: 1632: 1628: 1616: 1615: 1604: 1601: 1598: 1595: 1592: 1587: 1583: 1579: 1576: 1573: 1570: 1567: 1564: 1559: 1554: 1551: 1548: 1545: 1542: 1539: 1536: 1533: 1530: 1527: 1524: 1521: 1498: 1492: 1489: 1483: 1480: 1477: 1474: 1471: 1468: 1457: 1456: 1445: 1440: 1436: 1430: 1422: 1419: 1413: 1409: 1403: 1399: 1395: 1392: 1385: 1382: 1373: 1370: 1363: 1360: 1353: 1350: 1341: 1338: 1308: 1305: 1282: 1279: 1276: 1271: 1268: 1246: 1240: 1237: 1231: 1228: 1225: 1222: 1219: 1216: 1181: 1178: 1173: 1168: 1165: 1162: 1159: 1132: 1129: 1126: 1123: 1117: 1114: 1108: 1105: 1081: 1078: 1069: 1066: 1059: 1054: 1050: 1029: 1026: 1023: 1020: 1017: 1014: 1011: 989: 985: 960: 957: 952: 927: 924: 919: 914: 911: 908: 905: 893: 890: 873: 870: 866: 860: 857: 850: 847: 844: 840: 834: 831: 824: 821: 818: 813: 809: 805: 801: 795: 792: 785: 782: 779: 776: 765: 764: 752: 749: 746: 743: 738: 731: 728: 719: 715: 711: 708: 705: 702: 698: 692: 689: 679: 676: 668: 664: 660: 657: 654: 651: 648: 645: 640: 633: 630: 623: 620: 617: 614: 610: 604: 601: 592: 585: 582: 575: 572: 569: 566: 563: 558: 554: 550: 547: 544: 541: 536: 532: 528: 523: 519: 512: 509: 503: 500: 497: 494: 490: 484: 481: 471: 468: 462: 459: 456: 453: 450: 447: 444: 441: 438: 435: 432: 429: 426: 420: 417: 411: 408: 405: 402: 399: 396: 373: 370: 365: 360: 357: 354: 351: 331: 325: 322: 316: 313: 310: 307: 304: 301: 282: 279: 266: 263: 258: 253: 250: 247: 244: 197: 194: 189: 184: 181: 178: 175: 155: 152: 147: 142: 139: 136: 133: 121: 118: 106:Sergio Ferrara 93: 90: 46:is a field on 29:representation 25:supermultiplet 15: 13: 10: 9: 6: 4: 3: 2: 5211: 5200: 5199:Supersymmetry 5197: 5196: 5194: 5179: 5176: 5174: 5171: 5169: 5166: 5164: 5161: 5159: 5156: 5154: 5151: 5149: 5146: 5144: 5141: 5139: 5136: 5134: 5131: 5129: 5126: 5124: 5121: 5119: 5116: 5114: 5111: 5109: 5106: 5104: 5101: 5099: 5096: 5094: 5091: 5089: 5086: 5085: 5083: 5079: 5073: 5070: 5068: 5065: 5063: 5060: 5058: 5055: 5053: 5050: 5048: 5045: 5043: 5040: 5038: 5035: 5033: 5030: 5028: 5025: 5023: 5020: 5018: 5015: 5013: 5010: 5008: 5005: 5004: 5002: 5000: 4999:Superpartners 4996: 4990: 4987: 4985: 4982: 4980: 4977: 4975: 4972: 4970: 4967: 4965: 4962: 4960: 4957: 4955: 4952: 4950: 4947: 4946: 4944: 4942: 4938: 4932: 4929: 4927: 4924: 4922: 4919: 4917: 4914: 4912: 4909: 4907: 4904: 4902: 4899: 4897: 4894: 4892: 4889: 4888: 4886: 4882: 4876: 4873: 4871: 4868: 4866: 4863: 4862: 4860: 4856: 4850: 4847: 4845: 4842: 4840: 4837: 4835: 4832: 4830: 4827: 4825: 4822: 4820: 4817: 4815: 4812: 4810: 4807: 4805: 4802: 4800: 4797: 4795: 4792: 4790: 4787: 4785: 4782: 4780: 4777: 4775: 4772: 4770: 4767: 4765: 4762: 4760: 4757: 4755: 4752: 4751: 4749: 4745: 4739: 4738:Supermanifold 4736: 4734: 4731: 4729: 4726: 4724: 4721: 4719: 4716: 4714: 4711: 4709: 4706: 4704: 4701: 4699: 4696: 4694: 4691: 4690: 4688: 4686: 4682: 4676: 4675:Supergeometry 4673: 4671: 4668: 4666: 4663: 4661: 4658: 4656: 4653: 4651: 4648: 4646: 4645:Supersymmetry 4643: 4642: 4640: 4636: 4632: 4631:Supersymmetry 4625: 4620: 4618: 4613: 4611: 4606: 4605: 4602: 4593: 4588: 4583: 4580: 4576: 4572: 4569: 4565: 4561: 4558: 4554: 4550: 4546: 4542: 4538: 4534: 4530: 4525: 4524: 4515: 4510: 4503: 4500: 4488: 4484: 4480: 4476: 4472: 4468: 4467:Phys. Lett. B 4464: 4457: 4454: 4449: 4437: 4422: 4416: 4412: 4408: 4404: 4400: 4396: 4395: 4387: 4384: 4377: 4373: 4370: 4368: 4365: 4363: 4360: 4359: 4355: 4353: 4351: 4347: 4343: 4328: 4325: 4306: 4304: 4290: 4287: 4272: 4268: 4253: 4250: 4234: 4232: 4213: 4210: 4207: 4201: 4175: 4172: 4167: 4163: 4156: 4153: 4133: 4130: 4103: 4100: 4085: 4081: 4065: 4045: 4042: 4039: 4032: 4031:Weyl fermions 4014: 4010: 4002: 3979: 3975: 3960: 3957: 3938: 3936: 3922: 3919: 3880: 3864: 3861: 3802: 3774: 3771: 3768: 3765: 3762: 3759: 3756: 3751: 3747: 3738: 3722: 3719: 3716: 3704: 3702: 3700: 3696: 3691: 3688: 3684: 3680: 3676: 3671: 3667: 3664: 3648: 3645: 3630: 3626: 3618: 3616: 3613: 3609: 3605: 3596: 3594: 3592: 3576: 3556: 3534: 3530: 3521: 3505: 3482: 3479: 3474: 3464: 3455: 3451: 3445: 3442: 3437: 3434: 3431: 3426: 3416: 3409: 3400: 3388: 3380: 3376: 3372: 3367: 3363: 3353: 3345: 3341: 3337: 3334: 3325: 3317: 3316: 3315: 3313: 3297: 3294: 3291: 3288: 3268: 3265: 3262: 3253: 3251: 3230: 3226: 3217: 3213: 3197: 3193: 3170: 3166: 3157: 3143: 3140: 3137: 3134: 3126: 3112: 3092: 3084: 3083: 3082: 3065: 3061: 3057: 3054: 3048: 3045: 3039: 3036: 3032: 3026: 3017: 3009: 3005: 2998: 2995: 2989: 2985: 2976: 2969: 2959: 2955: 2948: 2945: 2939: 2936: 2932: 2928: 2923: 2914: 2908: 2905: 2901: 2897: 2892: 2882: 2873: 2864: 2861: 2855: 2847: 2841: 2832: 2825: 2821: 2817: 2814: 2809: 2805: 2796: 2789: 2785: 2781: 2778: 2772: 2769: 2766: 2763: 2750: 2746: 2737: 2734: 2728: 2722: 2719: 2716: 2713: 2705: 2701: 2694: 2691: 2685: 2677: 2667: 2662: 2659: 2656: 2653: 2650: 2647: 2644: 2641: 2638: 2631: 2630: 2629: 2613: 2609: 2605: 2602: 2573: 2567: 2564: 2561: 2558: 2552: 2543: 2529: 2526: 2507: 2505: 2503: 2495: 2493: 2476: 2471: 2459: 2456: 2444: 2435: 2427: 2424: 2418: 2414: 2410: 2407: 2402: 2394: 2389: 2385: 2377: 2376: 2375: 2361: 2358: 2355: 2350: 2342: 2320: 2306: 2304: 2300: 2292: 2276: 2270: 2264: 2261: 2256: 2246: 2237: 2233: 2227: 2224: 2219: 2210: 2202: 2198: 2191: 2185: 2180: 2170: 2166: 2159: 2155: 2150: 2144: 2138: 2133: 2119: 2111: 2107: 2103: 2100: 2097: 2091: 2085: 2080: 2076: 2072: 2066: 2060: 2057: 2052: 2047: 2041: 2035: 2032: 2020: 2014: 2011: 2008: 2005: 1992: 1991: 1990: 1976: 1947: 1941: 1938: 1935: 1932: 1920: 1918: 1902: 1882: 1862: 1842: 1833: 1820: 1817: 1812: 1808: 1800: 1797: 1785: 1759: 1755: 1747:only through 1728: 1699: 1670: 1662: 1658: 1654: 1651: 1648: 1643: 1639: 1635: 1630: 1626: 1602: 1596: 1590: 1585: 1581: 1577: 1571: 1565: 1562: 1557: 1552: 1546: 1540: 1537: 1531: 1528: 1525: 1512: 1511: 1510: 1487: 1481: 1478: 1475: 1472: 1443: 1438: 1428: 1420: 1417: 1411: 1407: 1401: 1397: 1393: 1390: 1383: 1380: 1361: 1358: 1351: 1348: 1336: 1325: 1324: 1323: 1303: 1280: 1277: 1266: 1235: 1229: 1226: 1223: 1220: 1206: 1202: 1198: 1194: 1193:supersymmetry 1179: 1176: 1166: 1163: 1160: 1157: 1148: 1146: 1130: 1127: 1124: 1121: 1115: 1112: 1106: 1103: 1079: 1076: 1064: 1057: 1052: 1048: 1027: 1024: 1021: 1018: 1015: 1012: 1009: 987: 983: 974: 958: 955: 939: 925: 922: 912: 909: 906: 903: 891: 889: 887: 871: 868: 864: 855: 848: 845: 842: 838: 829: 822: 819: 816: 811: 807: 803: 799: 790: 783: 780: 777: 774: 747: 741: 736: 726: 717: 713: 709: 703: 696: 687: 674: 666: 662: 658: 652: 646: 643: 638: 628: 621: 615: 608: 599: 590: 580: 573: 567: 561: 556: 552: 548: 542: 534: 530: 526: 521: 517: 507: 501: 495: 488: 479: 466: 460: 454: 448: 445: 442: 436: 430: 427: 415: 409: 406: 403: 400: 387: 386: 385: 371: 368: 358: 355: 352: 349: 320: 314: 311: 308: 305: 290: 288: 280: 278: 264: 261: 251: 248: 245: 242: 234: 229: 227: 226:Lorentz group 223: 219: 215: 211: 195: 192: 182: 179: 176: 173: 153: 150: 140: 137: 134: 131: 119: 117: 115: 111: 107: 103: 99: 91: 89: 87: 83: 78: 76: 72: 68: 67:superpartners 64: 59: 57: 53: 49: 45: 40: 38: 34: 30: 26: 22: 4941:Supergravity 4834:Localization 4824:Witten index 4799:Moduli space 4763: 4693:Superalgebra 4660:Supergravity 4574: 4563: 4532: 4528: 4502: 4490:. Retrieved 4470: 4466: 4456: 4424:. Retrieved 4393: 4386: 4341: 4310: 4270: 4266: 4235: 3977: 3973: 3942: 3877:, while for 3708: 3699:Fayet (1976) 3694: 3692: 3686: 3682: 3669: 3665: 3624: 3622: 3600: 3520:superpartner 3497: 3254: 3247: 3080: 2544: 2511: 2499: 2491: 2307: 2302: 2298: 2296: 1921: 1834: 1617: 1458: 1200: 1196: 1149: 940: 895: 766: 291: 284: 232: 230: 123: 114:Bruno Zumino 95: 79: 60: 43: 41: 24: 18: 5081:Researchers 5067:Stop squark 5032:Graviscalar 5027:Graviphoton 4891:Wess–Zumino 4754:Supercharge 4233:concisely. 4084:gauge group 4001:gauge field 3999:contains a 3216:gauge field 1205:pulled back 886:irreducible 210:gauge boson 110:Julius Wess 98:Abdus Salam 5128:Iliopoulos 5072:Superghost 5062:Sgoldstino 5047:Neutralino 4839:Mu problem 4759:R-symmetry 4723:Superspace 4718:Supergroup 4378:References 3673:, a Dirac 2335:satisfies 973:superspace 48:superspace 44:superfield 5098:Batchelor 5022:Goldstino 4911:Super QCD 4789:FI D-term 4774:BPS state 4514:1011.1491 4446:ignored ( 4436:cite book 4214:ψ 4208:ϕ 4199:Φ 4176:λ 4168:μ 4066:ϕ 4046:ψ 4040:λ 4015:μ 3987:Ψ 3772:⋯ 3679:auxiliary 3535:μ 3506:λ 3468:¯ 3465:θ 3452:θ 3435:λ 3432:θ 3420:¯ 3417:θ 3404:¯ 3401:λ 3392:¯ 3389:θ 3377:θ 3368:μ 3357:¯ 3354:θ 3346:μ 3342:σ 3338:θ 3269:χ 3231:μ 3198:α 3194:λ 3171:α 3167:χ 3055:◻ 3021:¯ 3018:θ 3006:θ 2980:¯ 2977:χ 2970:μ 2966:∂ 2960:μ 2956:σ 2937:λ 2929:θ 2918:¯ 2915:θ 2906:− 2898:χ 2893:μ 2889:∂ 2883:μ 2877:¯ 2874:σ 2851:¯ 2848:λ 2836:¯ 2833:θ 2822:θ 2810:μ 2800:¯ 2797:θ 2790:μ 2786:σ 2782:θ 2779:− 2767:− 2756:¯ 2747:θ 2729:− 2702:θ 2681:¯ 2678:χ 2671:¯ 2668:θ 2660:− 2657:χ 2654:θ 2614:† 2577:¯ 2574:θ 2565:θ 2472:μ 2468:∂ 2460:˙ 2457:α 2448:¯ 2445:θ 2436:μ 2428:˙ 2425:α 2419:α 2415:σ 2403:α 2399:∂ 2390:α 2351:† 2347:Φ 2321:† 2317:Φ 2265:ϕ 2262:◻ 2250:¯ 2247:θ 2234:θ 2220:− 2214:¯ 2211:θ 2203:μ 2199:σ 2186:ψ 2181:μ 2177:∂ 2167:θ 2151:− 2139:ϕ 2134:μ 2130:∂ 2123:¯ 2120:θ 2112:μ 2108:σ 2104:θ 2077:θ 2061:ψ 2058:θ 2036:ϕ 2024:¯ 2021:θ 2012:θ 2000:Φ 1951:¯ 1948:θ 1939:θ 1863:ψ 1843:ϕ 1813:μ 1801:˙ 1798:α 1789:¯ 1760:μ 1732:¯ 1729:θ 1703:¯ 1700:θ 1674:¯ 1671:θ 1663:μ 1659:σ 1655:θ 1644:μ 1631:μ 1582:θ 1566:ψ 1563:θ 1541:ϕ 1532:θ 1520:Φ 1491:¯ 1488:θ 1479:θ 1467:Φ 1439:μ 1435:∂ 1429:μ 1421:˙ 1418:α 1412:α 1408:σ 1402:α 1398:θ 1391:− 1384:˙ 1381:α 1372:¯ 1369:∂ 1362:− 1352:˙ 1349:α 1340:¯ 1307:¯ 1275:Φ 1270:¯ 1239:¯ 1236:θ 1227:θ 1215:Φ 1116:˙ 1113:α 1104:α 1080:˙ 1077:α 1068:¯ 1065:θ 1053:α 1049:θ 1022:… 1010:μ 988:μ 859:¯ 856:ξ 846:ξ 833:¯ 812:μ 794:¯ 791:χ 781:χ 775:ϕ 730:¯ 727:θ 714:θ 691:¯ 688:ξ 678:¯ 675:θ 663:θ 647:ξ 644:θ 632:¯ 629:θ 603:¯ 584:¯ 581:θ 553:θ 535:μ 527:θ 522:μ 518:σ 511:¯ 508:θ 483:¯ 480:χ 470:¯ 467:θ 449:χ 446:θ 431:ϕ 419:¯ 416:θ 407:θ 395:Φ 324:¯ 321:θ 312:θ 300:Φ 235:, and in 228:changes. 86:operators 63:particles 5193:Category 5133:Montonen 5057:Sfermion 5052:R-hadron 5037:Higgsino 5012:Chargino 4901:4D N = 1 4858:Theorems 4747:Concepts 4356:See also 3549:, while 1895:, named 1293:, where 865:′ 839:′ 800:′ 697:′ 609:′ 489:′ 218:graviton 75:fermions 5148:Seiberg 5123:Golfand 5103:Berezin 5088:Affleck 5017:Gaugino 4557:0416304 4537:Bibcode 4492:3 April 4475:Bibcode 4426:3 April 4399:Bibcode 3663:scalars 3597:Scalars 3518:is the 92:History 52:section 42:Then a 5178:Zumino 5173:Witten 5163:Rogers 5153:Siegel 5093:Bagger 4794:F-term 4784:D-term 4555:  4417:  4372:F-term 4367:D-term 4029:, two 3974:vector 3675:spinor 3591:D-term 2374:where 1917:F-term 1618:where 1145:spinor 767:where 214:spinor 71:bosons 69:where 54:of an 5158:Roček 5143:Salam 5138:Olive 5118:Gates 5113:Fayet 5007:Axino 4921:NMSSM 4587:arXiv 4509:arXiv 4307:N = 4 4082:of a 3939:N = 2 3608:torus 3498:Then 1096:with 31:of a 27:is a 5168:Wess 5108:Dine 4916:MSSM 4494:2023 4448:help 4428:2023 4415:ISBN 4311:The 4236:The 3943:The 3281:and 3185:and 3105:and 1195:, a 287:2001 112:and 100:and 23:, a 5042:LSP 4545:doi 4533:113 4483:doi 4407:doi 4346:CPT 4269:or 3976:or 3905:is 3847:is 3522:of 1150:In 342:in 289:). 19:In 5195:: 4577:, 4566:, 4553:MR 4551:, 4543:, 4531:, 4481:. 4471:51 4469:. 4465:. 4440:: 4438:}} 4434:{{ 4413:. 4405:. 4352:. 3935:. 3690:. 3623:A 3593:. 3330:WZ 3252:. 3218:) 2504:. 2305:. 1989:: 1821:0. 1002:, 116:. 108:, 88:. 77:. 58:. 39:. 4623:e 4616:t 4609:v 4595:. 4589:: 4581:. 4570:. 4547:: 4539:: 4517:. 4511:: 4496:. 4485:: 4477:: 4450:) 4430:. 4409:: 4401:: 4329:4 4326:= 4321:N 4291:1 4288:= 4283:N 4254:2 4251:= 4246:N 4217:) 4211:, 4205:( 4202:= 4179:) 4173:, 4164:A 4160:( 4157:= 4154:W 4134:1 4131:= 4126:N 4104:1 4101:= 4096:N 4043:, 4011:A 3961:2 3958:= 3953:N 3923:4 3920:= 3915:N 3891:N 3865:8 3862:= 3857:N 3833:N 3808:N 3803:2 3780:N 3775:, 3769:, 3766:1 3763:= 3760:A 3757:, 3752:A 3748:Q 3723:4 3720:= 3717:d 3695:N 3687:i 3683:F 3670:i 3666:A 3649:2 3646:= 3641:N 3577:D 3557:D 3531:A 3483:. 3480:D 3475:2 3456:2 3446:2 3443:1 3438:+ 3427:2 3410:+ 3381:2 3373:+ 3364:A 3335:= 3326:V 3298:N 3295:i 3292:+ 3289:M 3266:, 3263:C 3227:A 3144:N 3141:i 3138:+ 3135:M 3113:D 3093:C 3066:. 3062:) 3058:C 3049:2 3046:1 3040:+ 3037:D 3033:( 3027:2 3010:2 2999:2 2996:1 2990:+ 2986:) 2949:2 2946:i 2940:+ 2933:( 2924:2 2909:i 2902:) 2865:2 2862:i 2856:+ 2842:( 2826:2 2818:i 2815:+ 2806:A 2776:) 2773:N 2770:i 2764:M 2761:( 2751:2 2738:2 2735:i 2726:) 2723:N 2720:i 2717:+ 2714:M 2711:( 2706:2 2695:2 2692:i 2686:+ 2663:i 2651:i 2648:+ 2645:C 2642:= 2639:V 2610:V 2606:= 2603:V 2583:) 2568:, 2562:, 2559:x 2556:( 2553:V 2530:1 2527:= 2522:N 2477:. 2411:i 2408:+ 2395:= 2386:D 2362:, 2359:0 2356:= 2343:D 2277:. 2274:) 2271:x 2268:( 2257:2 2238:2 2228:4 2225:1 2195:) 2192:x 2189:( 2171:2 2160:2 2156:i 2148:) 2145:x 2142:( 2101:i 2098:+ 2095:) 2092:x 2089:( 2086:F 2081:2 2073:+ 2070:) 2067:x 2064:( 2053:2 2048:+ 2045:) 2042:x 2039:( 2033:= 2030:) 2015:, 2009:, 2006:x 2003:( 1977:y 1957:) 1942:, 1936:, 1933:x 1930:( 1903:F 1883:F 1818:= 1809:y 1786:D 1756:y 1652:i 1649:+ 1640:x 1636:= 1627:y 1603:, 1600:) 1597:y 1594:( 1591:F 1586:2 1578:+ 1575:) 1572:y 1569:( 1558:2 1553:+ 1550:) 1547:y 1544:( 1538:= 1535:) 1529:, 1526:y 1523:( 1497:) 1482:, 1476:, 1473:x 1470:( 1444:. 1394:i 1359:= 1337:D 1304:D 1281:0 1278:= 1267:D 1245:) 1230:, 1224:, 1221:x 1218:( 1180:1 1177:= 1172:N 1167:, 1164:4 1161:= 1158:d 1131:2 1128:, 1125:1 1122:= 1107:, 1058:, 1028:3 1025:, 1019:, 1016:0 1013:= 984:x 959:1 956:= 951:N 926:1 923:= 918:N 913:, 910:4 907:= 904:d 872:D 869:, 849:, 843:, 830:F 823:, 820:F 817:, 808:V 804:, 784:, 778:, 763:, 751:) 748:x 745:( 742:D 737:2 718:2 710:+ 707:) 704:x 701:( 667:2 659:+ 656:) 653:x 650:( 639:2 622:+ 619:) 616:x 613:( 600:F 591:2 574:+ 571:) 568:x 565:( 562:F 557:2 549:+ 546:) 543:x 540:( 531:V 502:+ 499:) 496:x 493:( 461:+ 458:) 455:x 452:( 443:+ 440:) 437:x 434:( 428:= 425:) 410:, 404:, 401:x 398:( 372:1 369:= 364:N 359:, 356:4 353:= 350:d 330:) 315:, 309:, 306:x 303:( 265:2 262:= 257:N 252:, 249:4 246:= 243:d 196:2 193:= 188:N 183:, 180:4 177:= 174:d 154:1 151:= 146:N 141:, 138:4 135:= 132:d

Index

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
F-term

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