Green M.B., Schwarz J.H., Witten E. — Superstring Theory (vol. 1) :: Электронная библиотека попечительского совета мехмата МГУ

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Green M.B., Schwarz J.H., Witten E. — Superstring Theory (vol. 1)

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Название: Superstring Theory (vol. 1)

Авторы: Green M.B., Schwarz J.H., Witten E.

Аннотация:

This two-volume book attempts to fill the need for a systematic exposition of superstring theory and its applications accessible to as wide an audience as possible. Contains many topics from recent research papers, concerned largely with the evaluation of one-loop amplitudes, the study of anomalies, and phenomenology.

Язык:

Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1987

Количество страниц: 469

Добавлена в каталог: 07.12.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

      304 344—349
affine      304
current algebra      304
Dynkin diagram      328
SO(16) subgroup      346
, subgroup      347—348
Action bosonic string      2 61
Action bosonic string curved world-sheet      151
Action bosonic string with internal fermions      300
Action classical point particle      18 57 250
Action Faddeev — Popov ghost      126 234
Action heterotic string      306
Action n-dimensional object      59
Action N=1 supergravity in four dimensions      227
Action superconformal ghost      406
Action superstring global N=2 world-sheet      239
Action superstring global world-sheet      186 194
Action superstring local space-time      254
Action superstring local world-sheet      228
Action superstring space-time light-cone      262
Action superstring world-sheet light-cone      264
Action supersymmetric point particle      20 250
Anomalous dimension      41
Anomaly      25
Anomaly conformal      147 166
Anomaly gravitational      144—147
Anomaly Lorentz      98
Anomaly Schwinger      407
Anomaly super-Virasoro covariant      204 236
Anomaly super-Virasoro ghost contribution      235
Anomaly super-Virasoro light-cone      212
Anomaly super-Virasoro N=2      241
Anomaly super-Virasoro N=4      243
Anomaly Virasoro      80ff 130
Anomaly Virasoro affine      305
Anomaly Virasoro covariant      130 144
Anomaly Virasoro ghost contribution      129
Anomaly Virasoro heterotic string      307
Anomaly world-sheet current algebra      302
Antisymmetric tensor field fourth-rank self-dual      278
Antisymmetric tensor field second rank      115 178 320
Background fields      164ff
Berezin integral      192
beta function      167—171
Black holes      115
Bosonization bosons      407—408
Bosonization finite-volume      152—155
Bosonization ghost      148ff
Bosonization heterotic string      317 323ff
Bosonization world-sheet fermions      264 301 321—322 403
Boundary conditions closed bosonic string      66
Boundary conditions closed superstring      198
Boundary conditions open bosonic string      67
Boundary conditions open superstring      198
Boundary conditions space-time fermions      263
Brans — Dicke scalar      16
BRST charge      131ff
BRST current      135
BRST invariance      133 138
BRST invariance fermion vertex operator      410
BRST invariance super-Virasoro algebra      235
Cartan subalgebra      283
Chan — Paton method      49 51 292ff
Chan — Paton method allowed gauge groups      298—299
Chirality ten-dimensional      221—223
Chirality two-dimensional      195
Cocycles      334—336 425
Coherent states method      429
Cohomology BRST      134 138
Cohomology Lie algebra      133
Compactification on a circle      318—321
Compactification on a torus      323
Conformal dimension      87 (see also “Anomalous dimension”)
Conformal dimension Faddeev — Popov ghost      130
Conformal dimension holomorphic      125
Conformal equivalence      157
Conformal gauge      23 38 74 165
Conformal invariance      33 36 172—174 361
Conformal invariance background fields      179
Correlation function      36
Correlation function evaluation      429—433
Cosmological constant      61
Coupling constants      53 182
Covariant derivative complex world-sheet      126
Covariant derivative spinor      226
Covariant derivative superspace      192
Current algebra bosonic representation      329ff
Current algebra heterotic string      305ff
Current algebra heterotic string $E_8 \times E_8$       312—317 337
Current algebra heterotic string SO(32)      307—312
Current algebra world-sheet      302ff
DDF operators      101 (see also “Spectrum-generating algebra”)
Dedekind eta function      117
Density of states      see also “Modular functions”
Density of states bosonic string      116—119
Density of states heterotic string      340
Density of states superstring      223 276 279
Dilaton      16 115 179
Dirac equation fermionic superstring      206
Dirac equation light-cone gauge      272
Dirac equation two-dimensional      194
Duality hypothesis      5 8
Duality projection tensor      256
Dynkin diagram      284
Eisenstein series      350
Energy-momentum tensor      24—25
Energy-momentum tensor bosonic string      62
Energy-momentum tensor bosonized ghost      151
Energy-momentum tensor superstring      189ff
Energy-momentum tensor superstring ghost contribution      234
Energy-momentum tensor superstring light-cone components      196
Equations of motion      69
Equations of motion bosonic string      63
Equations of motion superstring      197 257
Equations of motion superstring light-cone gauge      262
Euler beta function      373
Euler characteristic      179
Exceptional groups      304 319
Exceptional groups conjugacy classes      288
Fermionic symmetry      230 251 255—257 396
Feynman diagrams      27—29
Feynman diagrams string generalization      29ff 358
Fierz transformation SO(8)      271
Fierz transformation ten-dimensional      421
Fierz transformation two-dimensional      191
Fock space      76 79
Fock space and pictures      391
G parity      209 218 392
General relativity      13 26
General relativity string-theoretic corrections      177
Ghost conjugation invariance      151
Ghost number      132ff
Ghost number current      135 407
Ghost number current bosonized      150
Ghosts      76 79ff
Ghosts decoupling from amplitudes      362—363
Ghosts Faddeev — Popov      122ff 231—235
Ghosts reparametrization      307
Ghosts superconformal      233 406
Global world-sheet geometry      156ff
Grassmann coordinates      190 250
Gravitino      227 229ff
Graviton      14 115 278 320
GSO conditions      218—223 311 315 392 395
Hadronic resonances      1ff
Hardy-Ramanujan formula      118 277
Heterosis      306
Infrared divergences      17
Internal symmetries      48—51
Ising model      404

Jacobian superconformal      233
Kac — Moody algebra affine $E_8 \times E_8$       337
Kac — Moody algebra SO(2)      240
Kac — Moody algebra SU(2)      243
Kaluza — Klein gauge fields      326
Klein — Gordon equation      19
Klein — Gordon equation string analog      355
Lattice properties      324—326
Lattice properties       338
Lattice properties analog of Mandelstam invariants      426
Lattice properties gauge invariance      326—327
Lattice properties spin(32)      338
Lie algebra affine      302—305
Lie algebra Cartan subalgebra      329 337
Lie algebra conjugacy classes      287
Lie algebra graded      16
Lie algebra maximal torus      322
Lie algebra simply laced      283
Lie algebra weight and root lattices      287 327—328
Light-cone coordinates space-time      93
Light-cone coordinates world-sheet      64
Light-cone gauge      94
Light-cone gauge Lorentz invariance      96—100 269
Light-cone gauge superstring      211 260
Lorentz generators bosonic string      70 79
Lorentz generators superstring      203
Lorentz generators superstring light-cone gauge      212 268
Majorana spinor two-dimensional      187
Majorana — Weyl spinor      20 221 255
Mass-shell conditions bosonic string      73
Mass-shell conditions circular compactification      319
Mass-shell conditions heterotic string      309
Mass-shell conditions superstring      201
Massless vector boson      113 293ff
Modular forms      339 351
Modular group      158 339
Modular group, multiloop generalization      163
Moebius group      367(see also “SL(2
Neveu — Schwarz sector      202
Neveu — Schwarz sector fermionic generators      199
Neveu — Schwarz sector super-Virasoro algebra      204
No-ghost theorem      9 85 103—113 211—218
Noether method      68 229
Nonlinear sigma model      166 177ff
Normal mode expansion closed bosonic string      66
Normal mode expansion open bosonic string      68
Normal mode expansion space-time fermions      263
Normal mode expansion superconformal ghost      234
Normal ordering      77 89
Normal ordering ghost number operator      137
Octonions      349
Oscillator modes bosonic string      76
Oscillator modes bosonic string ghost contribution      128
Oscillator modes superstring      200
OSp(1|2) superalgebra      395
Partition function      117
Partition function finite-volume bosonized      154
Partition function heterotic string      341
path integral      28 36ff 359
Path integral curved space-time      164
Poincare Invariance      19 25 68
Propagator      28 355
Propagator RNS superstring      394
Propagator RNS superstring      391
Propagator closed bosonic string      380
Propagator free-field      39 49 139
Propagator open bosonic string      361
Propagator space-time superstring      418
QCD      51
Quantization BRST      131ff 232ff
Quantization covariant bosonic string      75ff
Quantization covariant path integral      121ff
Quantization covariant superstring      200ff 280—281
Quantization Kaluza — Klein      324
Quantization light-cone gauge bosonic string      93ff
Quantization light-cone gauge superstring      210ff 260
Quantization with constraints      280 323
Quantum gravity      14 54
Ramond sector      202
Ramond sector fermionic generators      199
Ramond sector super-Virasoro algebra      204
Regge slope      6 8 61 71
Regge trajectory      8 386
Regge-pole theory      6 10
Regularization      l67ff
Regularization zeta function      96
Reparametrization invariance      18 23 58 62 156ff 228 250ff
Riemann normal coordinates      168
Riemann tensor Yang — Mills      227
Riemann zeta function      351
Riemann — Roch theorem      162
Scattering amplitude bosonic string      354ff
Scattering amplitude bosonic string examples      371—374 381—387
Scattering amplitude closed and open-string relations      389—390
Scattering amplitude cyclic symmetry      364—371 418
Scattering amplitude generic M-particle      357ff
Scattering amplitude heterotic string      423ff
Scattering amplitude primitive      296
Scattering amplitude RNS superstring      391ff
Scattering amplitude space-time superstring      411ff
Scattering amplitude superstring examples      395—400 418—423
Scattering amplitude tachyon      38—40
Shapiro — Virasoro model      25
Shapiro — Virasoro model extended      115
Shapiro — Virasoro model restricted      116
SL(2,C)      38—41
SL(2,C) generators      161
SL(2,C) vacuum symmetry      385
SL(2,R)      47
SL(2,R) vacuum symmetry      365—367
SL(2,Z)      158 (see also “Modular group”)
SO(2n)      282—288
SO(2n) Dynkin diagram      284
SO(2n) spin(2n) covering group      282
SO(2n) spinor representations      285—287
SO(N)      294 299
SO(n) affine      302ff
Sp(N)      294
Spectrum $E_8 \times E_8$ heterotic string      314—317
Spectrum bosonic string      25
Spectrum bosonic string closed      115—116
Spectrum bosonic string open      113—114
Spectrum closed superstring      277—279
Spectrum heterotic string      339—343
Spectrum open superstring      270—277
Spectrum SO(32) heterotic string      310—312
Spectrum-generating algebra bosonic string      100—113
Spectrum-generating algebra superstring      214—218
Spin connection      226
Spin operator      404
Spin operator light-cone gauge      410
Spin operator superconformal ghost      406ff 409
Spin(8) Clifford algebra      288
Spurious states      363 392
Spurious states RNS superstring      395
Spurious states bosonic string      83
Stirling’s formula      10
String tension      61 70
Super Yang — Mills multiplet      278
Super-Poincare algebra      266—270
Supercharges      267
Supercharges Lorentz transformation      269
Superconformal invariance      230 237 239
Supercurrent      189 229
Supercurrent light-cone components      196
Supercurrent N=2 world-sheet      210
Superfield      190
Supergravity      16 20
Supergravity 11-dimensional      276
Supergravity N=1 four dimensional      227

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