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Monopole (mathematics)

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329: 272: 22: 313: 40: 370: 306: 399: 404: 299: 253: 58: 363: 389: 394: 356: 80: 140: 279: 336: 209: 165: 113: 109: 225: 181: 249: 135: 340: 283: 217: 173: 84: 193: 213: 169: 237: 125: 91: 383: 241: 229: 185: 153: 328: 197: 104: 72: 130: 271: 221: 177: 248:. M. B. Porter Lectures. Princeton, NJ: Princeton University Press. 15: 108:, where the connection and Higgs field should satisfy the 344: 287: 36: 198:"Nahm's equations and the classification of monopoles" 31:
may be too technical for most readers to understand
102:Physically, the section can be interpreted as a 246:The geometry and dynamics of magnetic monopoles 364: 307: 8: 156:(1983). "On the construction of monopoles". 371: 357: 314: 300: 59:Learn how and when to remove this message 43:, without removing the technical details. 202:Communications in Mathematical Physics 158:Communications in Mathematical Physics 41:make it understandable to non-experts 7: 325: 323: 268: 266: 343:. You can help Knowledge (XXG) by 286:. You can help Knowledge (XXG) by 14: 90:with a section of the associated 327: 270: 20: 1: 400:Differential geometry stubs 421: 405:Mathematical physics stubs 322: 265: 98:Physical interpretation 339:-related article is a 282:-related article is a 390:Differential geometry 280:differential geometry 395:Mathematical physics 337:mathematical physics 214:1984CMaPh..96..387D 170:1983CMaPh..89..145H 110:Bogomolny equations 222:10.1007/BF01214583 178:10.1007/BF01211826 352: 351: 295: 294: 141:Yang–Mills theory 136:Magnetic monopole 69: 68: 61: 412: 373: 366: 359: 331: 324: 316: 309: 302: 274: 267: 259: 233: 194:Donaldson, Simon 189: 85:principal bundle 64: 57: 53: 50: 44: 24: 23: 16: 420: 419: 415: 414: 413: 411: 410: 409: 380: 379: 378: 377: 321: 320: 263: 256: 238:Atiyah, Michael 236: 192: 152: 149: 122: 100: 65: 54: 48: 45: 37:help improve it 34: 25: 21: 12: 11: 5: 418: 416: 408: 407: 402: 397: 392: 382: 381: 376: 375: 368: 361: 353: 350: 349: 332: 319: 318: 311: 304: 296: 293: 292: 275: 261: 260: 254: 242:Hitchin, N. J. 234: 208:(3): 387–407. 190: 164:(2): 145–190. 154:Hitchin, Nigel 148: 145: 144: 143: 138: 133: 128: 126:Nahm equations 121: 118: 99: 96: 92:adjoint bundle 67: 66: 28: 26: 19: 13: 10: 9: 6: 4: 3: 2: 417: 406: 403: 401: 398: 396: 393: 391: 388: 387: 385: 374: 369: 367: 362: 360: 355: 354: 348: 346: 342: 338: 333: 330: 326: 317: 312: 310: 305: 303: 298: 297: 291: 289: 285: 281: 276: 273: 269: 264: 257: 255:0-691-08480-7 251: 247: 243: 239: 235: 231: 227: 223: 219: 215: 211: 207: 203: 199: 195: 191: 187: 183: 179: 175: 171: 167: 163: 159: 155: 151: 150: 146: 142: 139: 137: 134: 132: 129: 127: 124: 123: 119: 117: 115: 114:finite action 111: 107: 106: 97: 95: 93: 89: 86: 82: 78: 74: 63: 60: 52: 42: 38: 32: 29:This article 27: 18: 17: 345:expanding it 334: 288:expanding it 277: 262: 245: 205: 201: 161: 157: 103: 101: 87: 76: 70: 55: 46: 30: 105:Higgs field 73:mathematics 384:Categories 147:References 112:and be of 81:connection 49:March 2013 230:119959346 186:120823242 131:Instanton 244:(1988). 196:(1984). 120:See also 77:monopole 210:Bibcode 166:Bibcode 83:over a 35:Please 252:  228:  184:  335:This 278:This 226:S2CID 182:S2CID 79:is a 341:stub 284:stub 250:ISBN 75:, a 218:doi 174:doi 71:In 39:to 386:: 240:; 224:. 216:. 206:96 204:. 200:. 180:. 172:. 162:89 160:. 116:. 94:. 372:e 365:t 358:v 347:. 315:e 308:t 301:v 290:. 258:. 232:. 220:: 212:: 188:. 176:: 168:: 88:G 62:) 56:( 51:) 47:( 33:.

Index

help improve it
make it understandable to non-experts
Learn how and when to remove this message
mathematics
connection
principal bundle
adjoint bundle
Higgs field
Bogomolny equations
finite action
Nahm equations
Instanton
Magnetic monopole
Yang–Mills theory
Hitchin, Nigel
Bibcode
1983CMaPh..89..145H
doi
10.1007/BF01211826
S2CID
120823242
Donaldson, Simon
"Nahm's equations and the classification of monopoles"
Bibcode
1984CMaPh..96..387D
doi
10.1007/BF01214583
S2CID
119959346
Atiyah, Michael

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