Introduction to Supersymmetric Field TheoryIdeas and Methods of Supersymmetry and Supergravity: Or a Walk Through Superspace provides a comprehensive, detailed, and self-contained account of four dimensional simple supersymmetry and supergravity. Throughout the book, the authors cultivate their material in detail with calculations and full discussions of the fundamental ideas and motivations. They develop the subject in its superfield formulations but where appropriate for illustration, analogy, and comparison with conventional field theory, they use the component formulation. The book discusses many subjects that, until now, can only be found in the research literature. In addition, it presents a plethora of new results. Combining classical and quantum field theory with group theory, differential geometry, and algebra, the book begins with a solid mathematical background that is used in the rest of the book. The next chapter covers algebraic aspects of supersymmetry and the concepts of superspace and superfield. In the following chapters, the book presents classical and quantum superfield theory and the superfield formulation of supergravity. A synthesis of results and methods developed in the book, the final chapter concludes with the theory of effective action in curved superspaces. After studying this book, readers should be well prepared to pursue independent research in any area of supersymmetry and supergravity. It will be an indispensable source of reference for advanced graduate students, postdoctoral faculty, and researchers involved in quantum field theory, high energy physics, gravity theory, mathematical physics, and applied mathematics. |
Contents
III | 1 |
V | 4 |
VI | 6 |
VII | 7 |
IX | 8 |
X | 11 |
XI | 13 |
XII | 17 |
CLXXIII | 296 |
CLXXIV | 298 |
CLXXV | 299 |
CLXXVI | 302 |
CLXXVII | 305 |
CLXXVIII | 307 |
CLXXIX | 309 |
CLXXX | 311 |
XIII | 18 |
XIV | 19 |
XV | 21 |
XVII | 22 |
XVIII | 23 |
XIX | 26 |
XXI | 27 |
XXII | 29 |
XXIII | 30 |
XXIV | 32 |
XXV | 35 |
XXVI | 36 |
XXVII | 38 |
XXVIII | 39 |
XXIX | 40 |
XXX | 41 |
XXXI | 43 |
XXXII | 44 |
XXXIII | 45 |
XXXIV | 46 |
XXXV | 47 |
XXXVI | 48 |
XXXVII | 50 |
XXXVIII | 56 |
XL | 59 |
XLI | 61 |
XLII | 62 |
XLIII | 66 |
XLIV | 70 |
XLV | 72 |
XLVI | 74 |
XLVII | 77 |
XLVIII | 85 |
XLIX | 88 |
L | 91 |
LI | 96 |
LII | 101 |
LIII | 103 |
LIV | 106 |
LV | 107 |
LVI | 109 |
LVII | 110 |
LVIII | 112 |
LIX | 113 |
LX | 117 |
LXII | 121 |
LXIII | 122 |
LXIV | 124 |
LXV | 125 |
LXVI | 128 |
LXVII | 132 |
LXVIII | 135 |
LXIX | 137 |
LXX | 138 |
LXXII | 141 |
LXXIII | 143 |
LXXIV | 144 |
LXXV | 145 |
LXXVI | 146 |
LXXVIII | 147 |
LXXIX | 149 |
LXXX | 152 |
LXXXI | 153 |
LXXXII | 155 |
LXXXIII | 157 |
LXXXIV | 160 |
LXXXVI | 162 |
LXXXVII | 165 |
LXXXIX | 166 |
XC | 167 |
XCI | 168 |
XCII | 169 |
XCIII | 170 |
XCIV | 171 |
XCV | 172 |
XCVII | 173 |
XCVIII | 174 |
XCIX | 175 |
C | 176 |
CI | 179 |
CIII | 181 |
CV | 182 |
CVI | 185 |
CVII | 186 |
CIX | 188 |
CX | 191 |
CXI | 192 |
CXII | 194 |
CXIII | 195 |
CXIV | 198 |
CXVII | 201 |
CXVIII | 202 |
CXIX | 208 |
CXX | 211 |
CXXI | 213 |
CXXIII | 215 |
CXXV | 216 |
CXXVI | 217 |
CXXVII | 218 |
CXXVIII | 220 |
CXXIX | 222 |
CXXX | 224 |
CXXXI | 226 |
CXXXII | 228 |
CXXXIII | 230 |
CXXXV | 232 |
CXXXVI | 233 |
CXXXVIII | 236 |
CXL | 240 |
CXLI | 241 |
CXLII | 243 |
CXLIII | 245 |
CXLIV | 246 |
CXLV | 247 |
CXLVII | 249 |
CXLVIII | 251 |
CXLIX | 253 |
CL | 258 |
CLI | 259 |
CLII | 260 |
CLIII | 261 |
CLIV | 263 |
CLV | 264 |
CLVI | 265 |
CLVII | 266 |
CLVIII | 268 |
CLIX | 269 |
CLX | 270 |
CLXI | 273 |
CLXIII | 275 |
CLXV | 276 |
CLXVI | 278 |
CLXVII | 283 |
CLXVIII | 285 |
CLXIX | 289 |
CLXXI | 292 |
CLXXII | 294 |
CLXXXI | 313 |
CLXXXII | 316 |
CLXXXIII | 319 |
CLXXXIV | 329 |
CLXXXV | 332 |
CLXXXVI | 337 |
CLXXXVII | 340 |
CLXXXIX | 343 |
CXC | 346 |
CXCI | 350 |
CXCIV | 353 |
CXCV | 357 |
CXCVI | 361 |
CXCVII | 366 |
CXCVIII | 371 |
CC | 374 |
CCI | 376 |
CCII | 382 |
CCIII | 386 |
CCV | 390 |
CCVI | 396 |
CCVII | 397 |
CCVIII | 398 |
CCIX | 399 |
CCX | 403 |
CCXI | 405 |
CCXII | 406 |
CCXIII | 407 |
CCXIV | 408 |
CCXV | 410 |
CCXVI | 412 |
CCXVII | 413 |
CCXVIII | 416 |
CCXX | 420 |
CCXXI | 423 |
CCXXII | 424 |
CCXXIII | 426 |
CCXXV | 427 |
CCXXVI | 428 |
CCXXVII | 429 |
CCXXVIII | 430 |
CCXXIX | 432 |
CCXXX | 433 |
CCXXXI | 435 |
CCXXXII | 436 |
CCXXXIII | 438 |
CCXXXIV | 441 |
CCXXXV | 442 |
CCXXXVI | 443 |
CCXXXVII | 446 |
CCXXXVIII | 448 |
CCXXXIX | 450 |
CCXLI | 454 |
CCXLII | 460 |
CCXLIII | 461 |
CCXLIV | 463 |
CCXLV | 465 |
CCXLVII | 468 |
CCXLVIII | 469 |
CCXLIX | 471 |
CCL | 472 |
CCLI | 473 |
CCLII | 474 |
CCLIII | 478 |
CCLIV | 479 |
CCLV | 483 |
CCLVI | 485 |
CCLVII | 491 |
CCLIX | 492 |
CCLX | 493 |
CCLXI | 494 |
CCLXII | 496 |
CCLXIII | 498 |
CCLXV | 499 |
CCLXVI | 500 |
CCLXVII | 503 |
CCLXVIII | 504 |
CCLXIX | 505 |
CCLXX | 506 |
CCLXXI | 509 |
CCLXXII | 511 |
CCLXXIII | 515 |
CCLXXIV | 517 |
CCLXXV | 518 |
CCLXXVI | 522 |
CCLXXVII | 523 |
CCLXXVIII | 525 |
CCLXXIX | 528 |
CCLXXX | 531 |
CCLXXXII | 533 |
CCLXXXIII | 535 |
CCLXXXIV | 536 |
CCLXXXV | 537 |
CCLXXXVI | 539 |
CCLXXXVII | 541 |
CCLXXXVIII | 543 |
CCLXXXIX | 545 |
CCXC | 546 |
CCXCI | 547 |
CCXCII | 550 |
CCXCIII | 551 |
CCXCV | 554 |
CCXCVI | 556 |
CCXCVII | 559 |
CCXCVIII | 560 |
CCC | 563 |
CCCI | 564 |
CCCII | 565 |
CCCIII | 566 |
CCCIV | 570 |
CCCV | 573 |
CCCVI | 577 |
CCCVII | 580 |
CCCVIII | 584 |
CCCX | 586 |
CCCXI | 590 |
CCCXII | 593 |
CCCXIII | 597 |
CCCXIV | 600 |
CCCXV | 601 |
CCCXVI | 606 |
CCCXVII | 608 |
CCCXVIII | 612 |
CCCXIX | 613 |
CCCXXI | 616 |
CCCXXII | 617 |
CCCXXIII | 619 |
CCCXXIV | 620 |
CCCXXV | 623 |
CCCXXVI | 626 |
CCCXXVII | 627 |
CCCXXVIII | 630 |
CCCXXIX | 633 |
CCCXXX | 637 |
CCCXXXI | 640 |
644 | |
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Common terms and phrases
accordance with equation action superfunctional antichiral arbitrary bosonic c-number c-type chiral scalar superfield chiral superfield component fields conformal Killing consider constraints coordinate transformation corresponding covariant derivatives covariantly chiral scalar d³z defined denoted described dynamical equations effective action Einstein supergravity equivalent expression fermionic Feynman field theory follows function gauge group gauge invariance gauge transformations holomorphic identities integral introduce irreducible Killing supervectors Lie algebra Lie group linear operator Lorentz group Lorentz transformations massless metric Minkowski space multiplet non-minimal obtains on-shell one-loop parameters Poincaré group Poincaré superalgebra Poincaré transformations prepotentials quantum real scalar superfield relations respect result satisfy space-time subsection subspace super Weyl transformations superalgebra superconformal supergeometry supergraph supergravity supergravity action supergroup supermatrix supernumbers superspace superspin supersymmetric supersymmetry transformations supertorsion supertrace supervector field supervector space tensor superfield transformation law variables vierbein Wess-Zumino gauge Wess-Zumino model Weyl transformations