+612 9045 4394
 
CHECKOUT
String Theory in a Nutshell : In a Nutshell - Elias Kiritsis

String Theory in a Nutshell

In a Nutshell

Hardcover Published: 19th March 2007
ISBN: 9780691122304
Number Of Pages: 608

Share This Book:

Hardcover

$118.90
or 4 easy payments of $29.73 with Learn more
Ships in 7 to 10 business days

This book is the essential new introduction to modern string theory, by one of the world's authorities on the subject. Concise, clearly presented, and up-to-date, "String Theory in a Nutshell" brings together the best understood and most important aspects of a theory that has been evolving since the early 1980s. A core model of physics that substitutes one-dimensional extended "strings" for zero-dimensional point-like particles (as in quantum field theory), string theory has been the leading candidate for a theory that would successfully unify all fundamental forces of nature, including gravity.

Starting with the basic definitions of the theory, Elias Kiritsis guides readers through classic and modern topics. In particular, he treats perturbative string theory and its Conformal Field Theory (CFT) tools in detail while also developing nonperturbative aspects and exploring the unity of string interactions. He presents recent topics including black holes, their microscopic entropy, and the AdS/CFT correspondence. He also describes matrix model tools for string theory. In all, the book contains nearly five hundred exercises for the graduate-level student, and works as a self-contained and detailed guide to the literature.

"String Theory in a Nutshell" is the staple one-volume reference on the subject not only for students and researchers of theoretical high-energy physics, but also for mathematicians and physicists specializing in theoretical cosmology and QCD.

"What sets this book apart from other recent and older texts on string theory is that, while providing the level of detail in the derivation of all central results that is necessary for an introductory textbook, Kiritsis maintains a brisk and steady pace, and also includes a colloquial discussion of new concepts at the beginning of every section."--Johannes Walcher, Mathematical Reviews

Prefacep. xv
Abbreviationsp. xvii
Introductionp. 1
Prehistoryp. 1
The Case for String Theoryp. 3
A Stringy Historical Perspectivep. 6
Conventionsp. 8
Bibliographyp. 9
Classical String Theoryp. 10
The Point Particlep. 10
Relativistic Stringsp. 14
Oscillator Expansionsp. 20
Closed stringsp. 20
Open stringsp. 22
The Virasoro constraintsp. 24
Bibliographyp. 26
Exercisesp. 26
Quantization of Bosonic Stringsp. 28
Covariant Canonical Quantizationp. 28
Light-cone Quantizationp. 31
Spectrum of the Bosonic Stringp. 32
Unoriented Stringsp. 33
Open strings and Chan-Paton factorsp. 34
Path Integral Quantizationp. 37
Topologically Nontrivial World-sheetsp. 39
BRST Primerp. 40
BRST in String Theory and the Physical Spectrump. 42
Bibliographyp. 46
Exercisesp. 46
Conformal Field Theoryp. 49
Conformal Transformationsp. 49
The case of two dimensionsp. 51
Conformally Invariant Field Theoryp. 52
Radial Quantizationp. 54
Mode Expansionsp. 57
The Virasoro Algebra and the Central Chargep. 58
The Hilbert Spacep. 59
The Free Bosonp. 60
The Free Fermionp. 63
The Conformal Anomalyp. 64
Representations of the Conformal Algebrap. 66
Affine Current Algebrasp. 69
Free Fermions and O(N) Affine Symmetryp. 71
Superconformal Symmetryp. 77
N = (1,0)[subscript 2] superconformal symmetryp. 77
N = (2,0)[subscript 2] superconformal symmetryp. 79
N = (4,0)[subscript 2] superconformal symmetryp. 81
Scalars with Background Chargep. 82
The CFT of Ghostsp. 84
CFT on the Diskp. 86
Free massless bosons on the diskp. 86
Free massless fermions on the diskp. 88
The projective planep. 90
CFT on the Torusp. 90
Compact Scalarsp. 93
Modular invariancep. 97
Decompactificationp. 97
The torus propagatorp. 97
Marginal deformationsp. 98
Multiple compact scalarsp. 98
Enhanced symmetry and the string Brout-Englert-Higgs effectp. 100
T-dualityp. 101
Free Fermions on the Torusp. 103
Bosonizationp. 105
"Bosonization" of bosonic ghost systemp. 106
Orbifoldsp. 107
CFT on Other Surfaces of Euler Number Zerop. 112
CFT on Higher-genus Riemann Surfacesp. 116
Bibliographyp. 117
Exercisesp. 118
Scattering Amplitudes and Vertex Operatorsp. 126
Physical Vertex Operatorsp. 128
Calculation of Tree-level Tachyon Amplitudesp. 130
The closed stringp. 130
The open stringp. 131
The One-loop Vacuum Amplitudesp. 133
The torusp. 134
The cylinderp. 136
The Klein bottlep. 138
The Mobius stripp. 138
Tadpole cancellationp. 139
UV structure and UV-IR correspondencep. 140
Bibliographyp. 141
Exercisesp. 142
Strings in Background Fieldsp. 144
The Nonlinear [sigma]-model Approachp. 144
The Quest for Conformal Invariancep. 147
Linear Dilaton and Strings in D < 26 Dimensionsp. 149
T-duality in Nontrivial Backgroundsp. 151
Bibliographyp. 151
Exercisesp. 152
Superstrings and Supersymmetryp. 155
N = (1,1)[subscript 2] World-sheet Superconformal Symmetryp. 155
Closed (Type-II) Superstringsp. 157
Massless R-R statesp. 159
Type-I Superstringsp. 162
Heterotic Superstringsp. 165
Superstring Vertex Operatorsp. 168
One-loop Superstring Vacuum Amplitudesp. 170
The type-IIA/B superstringp. 170
The heterotic superstringp. 171
The type-I superstringp. 171
Closed Superstrings and T-dualityp. 174
The type-II string theoriesp. 174
The heterotic stringp. 175
Supersymmetric Effective Actionsp. 175
Anomaliesp. 176
Bibliographyp. 182
Exercisesp. 183
D-branesp. 187
Antisymmetric Tensors and p-branesp. 187
Open Strings and T-dualityp. 188
D-branesp. 191
D-branes and R-R Chargesp. 193
D-instantonsp. 196
D-brane Effective Actionsp. 197
The Dirac-Born-Infeld actionp. 197
Anomaly-related termsp. 199
Multiple Branes and Nonabelian Symmetryp. 200
T-duality and Orientifoldsp. 201
D-branes as Supergravity Solitonsp. 205
The supergravity solutionsp. 205
Horizons and singularitiesp. 207
The extremal branes and their near-horizon geometryp. 208
NS[subscript 5]-branesp. 211
Bibliographyp. 213
Exercisesp. 213
Compactifications and Supersymmetry Breakingp. 219
Narain Compactificationsp. 219
World-sheet versus Space-time Supersymmetryp. 223
N = 1[subscript 4] space-time supersymmetryp. 225
N = 2[subscript 4] space-time supersymmetryp. 226
Orbifold Reduction of Supersymmetryp. 228
A Heterotic Orbifold with N = 2[subscript 4] Supersymmetryp. 231
Spontaneous Supersymmetry Breakingp. 235
A Heterotic N = 1[subscript 4] Orbifold and Chirality in Four Dimensionsp. 237
Calabi-Yau Manifoldsp. 239
Holonomyp. 241
Consequences of SU(3) holonomyp. 242
The CY moduli spacep. 243
N = 1[subscript 4] Heterotic Compactificationsp. 245
The low-energy N = 1[subscript 4] heterotic spectrump. 246
K3 Compactification of the Type-II Stringp. 247
N = 2[subscript 6] Orbifolds of the Type-II Stringp. 250
CY Compactifications of Type-II Stringsp. 252
Mirror Symmetryp. 253
Absence of Continuous Global Symmetriesp. 255
Orientifoldsp. 256
K3 orientifoldsp. 257
The Klein bottle amplitudep. 258
D-branes on T[superscript 4]/Z[subscript 2]p. 260
The cylinder amplitudep. 263
The Mobius strip amplitudep. 265
Tadpole cancellationp. 266
The open string spectrump. 267
D-branes at Orbifold Singularitiesp. 268
Magnetized Compactifications and Intersecting Branesp. 271
Open strings in an internal magnetic fieldp. 272
Intersecting branesp. 277
Intersecting D[subscript 6]-branesp. 278
Where is the Standard Model?p. 280
The heterotic stringp. 280
Type-II string theoryp. 282
The type-I stringp. 283
Unificationp. 284
Bibliographyp. 286
Exercisesp. 287
Loop Corrections to String Effective Couplingsp. 294
Calculation of Heterotic Gauge Thresholdsp. 296
On-shell Infrared Regularizationp. 301
Evaluation of the thresholdp. 303
Heterotic Gravitational Thresholdsp. 304
One-loop Fayet-Iliopoulos Termsp. 305
N = 1,2[subscript 4] Examples of Threshold Correctionsp. 309
N = 2[subscript 4] Universality of Thresholdsp. 312
Unification Revisitedp. 315
Bibliographyp. 317
Exercisesp. 317
Duality Connections and Nonperturbative Effectsp. 320
Perturbative Connectionsp. 322
BPS States and BPS Boundsp. 323
Nonrenormalization Theorems and BPS-saturated Couplingsp. 325
Type-IIA versus M-theoryp. 328
Self-duality of the Type-IIB Stringp. 331
U-duality of Type-Il String Theoryp. 334
U-duality and bound statesp. 335
Heterotic/Type I Duality in Ten Dimensionsp. 336
The type-I D[subscript 1]-stringp. 339
The type-I D[subscript 5]-branep. 341
Further consistency checksp. 343
M-theory and the E[subscript 8] x E[subscript 8] Heterotic Stringp. 344
Unification at strong heterotic couplingp. 347
Heterotic/Type II Duality in Six Dimensionsp. 348
Gauge symmetry enhancement and singular K3 surfacesp. 352
Heterotic/type II duality in four dimensionsp. 355
Conifold Singularities and Conifold Transitionsp. 356
Bibliographyp. 362
Exercisesp. 363
Black Holes and Entropy in String Theoryp. 369
A Brief Historyp. 369
The Strategyp. 369
Black-hole Thermodynamicsp. 371
The Euclidean continuationp. 372
Hawking evaporation and greybody factorsp. 374
The Information Problem and the Holographic Hypothesisp. 375
Five-dimensional Extremal Charged Black Holesp. 377
Five-dimensional Nonextremal RN Black Holesp. 379
The Near-horizon Regionp. 381
Semiclassical Derivation of the Hawking Ratep. 383
The Microscopic Realizationp. 386
The world-volume theory of the bound statep. 387
The low-energy SCFT of the D[subscript 1]-D[subscript 5] bound statep. 389
Microscopic calculation of the entropyp. 391
Microscopic derivation of Hawking evaporation ratesp. 394
Epiloguep. 396
Bibliographyp. 398
Exercisesp. 399
The Bulk/Boundary Correspondencep. 403
Large-N Gauge Theories and String Theoryp. 405
The Decoupling Principlep. 408
The Near-horizon Limitp. 409
Elements of the Correspondencep. 410
Bulk Fields and Boundary Operatorsp. 413
Holographyp. 416
Testing the AdS[subscript 5]/CFT[subscript 4] Correspondencep. 417
The chiral spectrum of N = 4 gauge theoryp. 418
Matching to the string theory spectrump. 420
N = 8 five-dimensional gauged supergravityp. 422
Protected correlation functions and anomaliesp. 422
Correlation Functionsp. 424
Two-point functionsp. 425
Three-point functionsp. 427
The gravitational action and the conformal anomalyp. 428
Wilson Loopsp. 433
AdS[subscript 5]/CFT[subscript 4] Correspondence at Finite Temperaturep. 436
N = 4 super Yang-Mills theory at finite temperaturep. 436
The near-horizon limit of black D[subscript 3]-branesp. 438
Finite-volume and large-N phase transitionsp. 440
Thermal holographic physicsp. 443
Spatial Wilson loops in (a version of) QCD[subscript 3]p. 444
The glueball mass spectrump. 446
AdS[subscript 3]/CFT[subscript 2] Correspondencep. 447
The greybody factors revisitedp. 450
The Holographic Renormalization Groupp. 450
Perturbations of the CFT[subscript 4]p. 451
Domain walls and flow equationsp. 452
A RG flow preserving N = 1 supersymmetryp. 454
The Randall-Sundrum Geometryp. 456
An alternative to compactificationp. 459
Bibliographyp. 462
Exercisesp. 463
String Theory and Matrix Modelsp. 470
M(atrix) Theoryp. 471
Membrane quantizationp. 471
Type-IIA D[subscript 0]-branes and DLCQp. 473
Gravitons and branes in M(atrix) theoryp. 476
The two-graviton interaction from M(atrix) theoryp. 477
Matrix Models and D = 1 Bosonic String Theoryp. 479
The continuum limitp. 481
Solving the matrix modelp. 482
The double-scaling limitp. 485
The free-fermion picturep. 487
Matrix Description of D = 2 String Theoryp. 488
Matrix quantum mechanics and free fermions on the linep. 490
The continuum limitp. 492
The double-scaling limitp. 494
D-particles, tachyons, and holographyp. 496
Bibliographyp. 498
Exercisesp. 498
Two-dimensional Complex Geometryp. 503
Differential Formsp. 505
Theta and Other Elliptic Functionsp. 507
[theta] and Related Functionsp. 507
The Weierstrass Functionp. 510
Modular Formsp. 510
Poisson Resummationp. 512
Toroidal Lattice Sumsp. 513
Toroidal Kaluza-Klein Reductionp. 516
The Reissner-Nordstrom Black Holep. 519
Electric-magnetic Duality in D = 4p. 522
Supersymmetric Actions in Ten and Eleven Dimensionsp. 525
The N = 1[subscript 11] Supergravityp. 526
Type-IIA Supergravityp. 527
Type-IIB Supergravityp. 528
Type-II Supergravities: The Democratic Formulationp. 529
N = 1[subscript 10] Supersymmetryp. 530
N = 1,2, Four-dimensional Supergravity Coupled to Matterp. 533
N = 1[subscript 4] Supergravityp. 533
N = 2[subscript 4] Supergravityp. 535
BPS Multiplets in Four Dimensionsp. 537
The Geometry of Anti-de Sitter Spacep. 541
The Minkowski Signature AdSp. 541
Euclidean AdSp. 544
The Conformal Structure of Flat Spacep. 546
Fields in AdSp. 548
The wave equation in Poincare coordinatesp. 549
The bulk-boundary propagatorp. 550
The bulk-to-bulk propagatorp. 551
Bibliographyp. 553
Indexp. 575
Table of Contents provided by Ingram. All Rights Reserved.

ISBN: 9780691122304
ISBN-10: 069112230X
Series: In a Nutshell
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 608
Published: 19th March 2007
Publisher: Princeton University Press
Country of Publication: US
Dimensions (cm): 26.04 x 19.05  x 3.81
Weight (kg): 1.43

This product is categorised by