Green M.B., Schwarz J.H., Witten E. — Superstring Theory (vol. 2) :: Электронная библиотека попечительского совета мехмата МГУ

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Green M.B., Schwarz J.H., Witten E. — Superstring Theory (vol. 2)

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Название: Superstring Theory (vol. 2)

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: 1988

Количество страниц: 596

Добавлена в каталог: 07.12.2005

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Предметный указатель

$SO(16) \times SO(16)$ heterotic string      128—132
$SO(16) \times SO(16)$ spectrum      131—132
$U(1) \times U(1)$ symmetry      44
Action, general relativity      326
Action, general relativity with fermions      327
Action, generalized Maxwell      289
Action, low-energy effective      30
Anomaly, $SO(16) \times SO(16)$ theory      358—361
Anomaly, Adler — Bell — Jackiw      142 331
Anomaly, cancelation, allowed gauge groups      353—358
Anomaly, cancelation, four-dimensional      410—412
Anomaly, cancelation, low-energy      340—343 35
Anomaly, cancelation, ten-dimensional      334
Anomaly, field theory      333—336
Anomaly, gauge current      145
Anomaly, global      47 144 347
Anomaly, gravitational      167 336—338 347—350 412
Anomaly, mixed gauge and gravitational      338 350—351
Anomaly, nonorientable hexagon diagram      164—165
Anomaly, nonplanar hexagon diagram      165—167
Anomaly, planar hexagon diagram      154—164
Anomaly, superstring      149
Anomaly, ten-dimensional super Yang-Mills      146—149
Anomaly, type I supergravity      352
Anomaly, type IIB supergravity      352
Anomaly, Wess — Zumino condition      343—346
Antisymmetric tensor field      377—380
Antisymmetric tensor field, second rank      166
Axion      380—385
Betti number      290 395
Bianchi identity      289
Bianchi identity, string correction      416
Brans — Dicke scalar      329
Calabi — Yau metric      438—440
Chan — Paton factor, hexagon diagram      152—153
Chan — Paton factor, nonorientable diagram      27
Chan — Paton factor, nonplanar diagram      32
Chan — Paton factor, planar diagram      8
Characteristic classes      298
Characteristic classes, nonabelian      300—302
Charge quantization      506—510
Chern class      299 301
Chern class for SU(N) holonomy      438
Chern — Simons form      300 303
Chern — Simons form, Lorentz and Yang-Mills      382
Chiral asymmetry      368 374—375 405
Chiral asymmetry with $E_{6}$       6 501
Chirality (4k+2)-dimensional      145
Chirality in ten dimensions      369
Coherent states method      12
Cohomology ring      295
Cohomology, de Rham      290
Cohomology, Dolbeault      447—449 463
Cohomology, Hodge decomposition      449—451
Cohomology, Hodge number      451—452
Compactification, appearance of moduli      403—404
Compactification, CP conservation      511—512
Compactification, gauge symmetries      400—403
Compactification, global symmetries      513
Compactification, massless fields      363 480
Compactification, nonrenormalization theorem      528—532
Compactification, orbifold      124—126
Compactification, SU(3) holonomy      480
Compactification, supersymmetry breaking      326
Compactification, toroidal      94—98
Compactification, with four generations      491—495
Complex n space      435
Complex projective space      427—430 435—436
Complex projective space, holomorphic vector bundles      460
Complex projective space, hypersurfaces      428—430 441—444
Complex projective space, metric      435
Conformal invariance      20
Conformal invariance, breakdown in regulator      157
Conformal transformation, Jacobian      265—267
Correlation function, heterotic torus diagram      104 106
Correlation function, massless vector emission      26
Correlation function, non planar diagram      34
Correlation function, nonorientable diagram      28
Correlation function, planar diagram      16
Correlation function, torus diagram      42
Cosmological constant      54—57 330 417
Cosmological constant with superpotential      521
Coupling constants      1
Coupling constants, gravity and Yang-Mills      195 209
Coupling constants, relations from $E_{6}$       497—500
Coupling constants, renormalization      544—548
Coupling constants, supergravity      325
Coupling constants, Yang-Mills      100
Covariant derivative      273
Covariant derivative, spinor      274
CP violation      342 380
de Rham's theorem      292
Diffeomorphism group, torus      45
Differential forms      287
Differential forms, as massless fields      365
Differential forms, covariantly constant      440—441
Differential forms, harmonic      20 179
Dilatino      41
Dilaton      416
Dilaton, bosonic one-loop divergence      21
Dilaton, expectation value      57 94 326 404
Dilaton, scale invariance      328—330
Dilaton, superstring one-loop divergence      84
Dilaton, tadpole amplitude      93 310
Dilaton, tadpole diagram      168—171
Dirac index      369—374 392—394
Dirac index, symmetry breaking      501
Dirac index, with gauge fields      372
Dolbeault operator      432 447
Euler characteristic      303 304—305 390—392 394—396
Euler characteristic as generation number      408—409
Euler characteristic, computations in $CP^{N}$       471—473
Euler characteristic, quotient space      494
Euler characteristic, SU(3) holonomy      452
Euler class      302
Evolution operator      21
Exterior derivative      287
Exterior derivative, adjoint      293
Exterior derivative, complex manifold      430—431
Exterior derivative, Dirac operator      387—392
Field strength, gauge-covariant      300
Field strength, gauge-invariant      298 289
Field strength, Riemann      274 302
Field strength, super Yang-Mills      322
Fubini — Study metric      435 (see also “complex projective space”)
Gauge field      283 364
Gauge field, compactified spectrum      398
Gauge field, expectation value      371
Gauge field, holomorphic      455
Gaussian integral      13
General relativity      253
General relativity, compactified spectrum      398
General relativity, Dirac operator      274
General relativity, scale invariance      327
General relativity, torsion      275
General relativity, with spinors      271
Generation number      375 404—410 482
Generation number, $E_{6}$ toy model      504
Ghost, bosonic string      5
Grand unification      495
Grand unification, fine-tuning problem      504 519
Grand unification, with $E_{6}$       6 125 480
Grand unification, with SO(10)      407
Grand unification, with SU(5)      498
Gravitino      415
Gravitino, removal from twisted sector      127
Graviton      6 399
Green function      16 180
Green function, bosonic planar loop      225—227
Green function, closed bosonic tree amplitude      231

Green function, on infinite strip      213
Green function, on punctured plane      61
Green function, on real projective plane      65 66
Green function, open bosonic tree amplitude      214—216
Green function, oscillator normal mode      183
GSO projection      114 119—121
GSO projection, divergence cancellation      82
Hamiltonian, closed superstring      243
Hamiltonian, light-cone gauge      183
Hamiltonian, normal mode      186
Hamiltonian, on lattice      185
Hamiltonian, open superstring      242
Hierarchy problem      330 368 414
Higgs field      364 374 414 495 500 505
Hirzebruch signature      390
Holomorphic coordinates      421
Holomorphic function      424
Holonomy      418 434
Holonomy, string world-sheet      435
Holonomy, SU(N)      437
Homotopy      285
Homotopy, charge quantization      507
Homotopy, with SU(3) holonomy      492
Index theorems      392
Index theorems, Atiyah — Singer      372
Index theorems, Gauss — Bonnet      391
Instanton      286
Instanton number      301
Jacobi theta functions      69—74
Kaehler manifold      430
Kaehler manifold, affine connection      433
Kaehler manifold, Dirac operator      444—447
Kaehler manifold, holomorphic symmetries      512
Kaehler manifold, Kaehler class      436
Kaehler manifold, metric      430
Kaehler manifold, Ricci-flat      437
Kaehler manifold, Riemann tensor      433
Kaehler manifold, spin connection      438
Kaehler potential      432
Kaluza — Klein theory      399
Killing vector field      399
Kuenneth formula      296
Laplacian      293
Laplacian, calculation of determinant      256—265
Laplacian, Hodge-de Rahm      377
Laplacian, Lichnerowicz      485
Liouville modes      36
Lorentz generator $SU(4) \times U(1)$ formalism      243
Lorentz invariance, breakdown from anomalies      50
Lorentz invariance, local      272
Magnetic monopole      286 289 386 393
Magnetic monopole, string theory      509
Manifold, characteristic classes      302—303
Manifold, closed      291
Manifold, complex      420 423
Manifold, deformations      467—469
Manifold, parallelizable      275
Manifold, Riemannian      425—427
Manifold, SU(3) holonomy      418—420
Manifold, SU(N) holonomy      441—444
Modular group      39
Modular group, fundamental region      49
Modular group, generators      47
Modular invariance, $SO(16) \times SO(16)$ theory      130
Modular invariance, bosonic torus diagram      44—48
Modular invariance, cosmological constant      57
Modular invariance, GSO projection      112—117
Modular invariance, heterotic torus diagram      108—112
Modular invariance, toroidal compactification      97
Modular invariance, type II torus diagram      92
Modular transformation      45 71
Momentum integral, bosonic planar diagram      12
Momentum integral, bosonic torus diagram      41
Momentum integral, heterotic torus diagram      105
Momentum integral, massless vector emission      25
Momentum integral, toroidal compactification      97
Momentum integral, type II torus diagram      91
Newlander — Nirenberg theorem      426
Nijenhuis tensor      421
Nonlinear sigma model      318 384
Normal mode expansion on lattice      185
Normal mode expansion, toroidal compactification      97
One-loop amplitude, bosonic nonorientable diagram      27
One-loop amplitude, bosonic nonplanar diagram      32
One-loop amplitude, bosonic planar diagram      8 223
One-loop amplitude, bosonic torus diagram      38 231—234
One-loop amplitude, bosonic twisted contribution      28
One-loop amplitude, heterotic torus diagram      102
One-loop amplitude, higher-order bosonic trees      58—63
One-loop amplitude, Klein bottle      66—67
One-loop amplitude, massless vector emission      25—27
One-loop amplitude, path-integral approach      11 223
One-loop amplitude, RNS formulation      117—119
One-loop amplitude, superstring low-energy limit      98—102
One-loop amplitude, type I nonorientable diagram      85—86
One-loop amplitude, type I nonplanar diagram      87—89
One-loop amplitude, type I planar diagram      79
One-loop amplitude, type II torus diagram      89
One-loop divergence, bosonic nonorientable diagram      30—32
One-loop divergence, bosonic nonplanar diagram      37
One-loop divergence, bosonic planar diagram      18—25
One-loop divergence, bosonic torus diagram      51—54
One-loop divergence, cancellation for SO(32)      168—172
One-loop divergence, planar hexagon diagram      156
One-loop divergence, type I planar diagram      81—85
One-loop finitenes, extension to multiloop amplitudes      94
One-loop finitenes, heterotic torus diagram      111
One-loop finitenes, orbifolds      121—126 548—551
One-loop finitenes, type II torus diagram      90—94
Parallel transport      418 434
Parallel transport, spinor      278—278
Parity violation      141
Partition function, fermions      113
Partition function, nonorientable diagram      30
Partition function, planar diagram      23
Path integral method, $SU(4) \times U(1)$ superstrings      235
Path integral method, bosonic one-loop amplitudes      223
Path integral method, bosonic tree amplitudes      203
Path integral method, free string propagator      181
Path integral method, interaction vertices      191—195
Path integral method, S-matrix elements      197
Path integral method, superstring tree amplitudes      254—255
Peccei — Quinn symmetry      384
Poincare duality      296
Poincare duality, Kahler manifold      452
Poincare lemma      289
Poisson summation formula      71
Pontryagin class      300 302
Pontryagin numbers      303
Propagator, closed bosonic string      56
Propagator, fermion      151
Propagator, open bosonic string      8
Propagator, open bosonic string, ghost contribution      14
Propagator, open superstring      80
Propagator, twisted      28
Proton decay      499 504 520
Quantum gravity      55
Rarita — Schwinger field      365
Rarita — Schwinger index      375
Real projective plane      31 63—66
Regularization      146
Regularization, lattice cutoff      184—189
Regularization, Pauli — Villars      155
Regularization, planar hexagon diagram      155—157
Regularization, point-splitting      158 173—177
Regularization, two-dimensional Laplacian      256
Renormalization, bosonic one-loop      18 51
Renormalization, coupling constants      544—548
Renormalization, in critical dimension      191 256
Riemann — Roch theorem      452

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