Principles of string theory:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Plenum Pr.
1988
|
| Schriftenreihe: | Series of the Centro de Estudios Cientificos de Santiago
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | XIII, 297 S. |
| ISBN: | 0306426579 |
Internformat
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| 245 | 1 | 0 | |a Principles of string theory |c Lars Brink and Marc Henneaux |
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Datensatz im Suchindex
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| adam_text | IMAGE 1
PRINCIPLES OF
STRING THEORY
LARS BRINK CHALMERS UNIVERSITY OF TECHNOLOGY AND UNIVERSITY OF GOTEBORG
GOTEBORG, SWEDEN AND MARC HENNEAUX UNIVERSITY LIBRE DE BRUXELLES
BRUSSELS, BELGIUM AND CENTRO DE ESTUDIOS CIENTIFICOS DE SANTIAGO
SANTIAGO, CHILE
PLENUM PRESS * NEW YORK AND LONDON
IMAGE 2
CONTENTS
COMPARISON OF CONVENTIONS USED IN PARTS I AND II . .. XIII
PART I. LECTURES ON SUPERSTRINGS
LARS BRINK
1. INTRODUCTION 3
2. BOSONIC STRINGS 9
3. SPINNING STRINGS 21
4. SUPERSTRINGS 31
5. THE HETEROTIC STRING 41
6. THE OPERATOR FORMALISM 49
7. FIELD THEORY FOR FREE SUPERSTRINGS 61
IMAGE 3
VIII
8. INTERACTION FIELD THEORY FOR TYPE IIB SUPERSTRINGS
CONTENTS
69
9. OTHER STRING INTERACTIONS AND THE POSSIBLE OCCURRENCE OF
ANOMALIES 77
10. OUTLOOK 83
APPENDIX. SOME NOTATIONS AND CONVENTIONS 87
REFERENCES 89
PART II. LECTURES ON STRING THEORY, WITH EMPHASIS ON HAMILTONIAN AND
BRST METHODS MARC HENNEAUX
11. INTRODUCTION
GENERAL REFERENCES
12. THE NAMBU-GOTO STRING: CLASSICAL ANALYSIS 12.1. ACTION PRINCIPLE . .
. .
12.1.1. NAMBU-GOTO ACTION 12.1.2. QUADRATIC FORM OF THE ACTION 12. 12.
12. 12. 12.
.3. O--MODEL INTERPRETATION OF THE ACTION .4. GAUGE INVARIANCES .5.
GLOBAL SYMMETRIES .6. CONFORMAL SYMMETRY 1.7. BOUNDARY CONDITIONS 12.2.
HAMILTONIAN FORMALISM
12.2.1. CONSTRAINTS 12.2.2. MEANING OF THE CONSTRAINTS-SIMPLIFICATION OF
THE FORMALISM 12.2.3. HAMILTONIAN FORM OF THE BOUNDARY CONDITIONS
(OPEN CASE)
12.2.4. HAMILTONIAN EXPRESSION FOR THE POINCARE CHARGES 12.3. A CLOSER
LOOK AT THE CONSTRAINT ALGEBRA 12.3.1. EXPLICIT COMPUTATION
12.3.2. VIRASORO CONDITIONS 12.4. FOURIER MODES
95
96
97 97 97 100 103 103 104 105 110 114 114
118
122 124 124 124
127 129
IMAGE 4
CONTENTS IX
12.4.1. OPEN STRING 129
12.4.2. CLOSED STRING 131
12.5. LIGHT-CONE GAUGE 133
12.5.1. CONFORMAL GAUGES 133
12.5.2. LIGHT-CONE GAUGE 136
12.5.3. GENERAL SOLUTION OF THE STRING CLASSICAL EQUATIONS 139 12.5.4.
INDEPENDENT DEGREES OF FREEDOM-DIRAC BRACKETS 143 12.5.5. LIGHT-CONE
GAUGE ACTION-LIGHT-CONE GAUGE HAMILTONIAN 145
12.5.6. POINCARE GENERATORS 146
12.5.7. PECULIARITIES OF THE CLOSED STRING . .. 147
13. QUANTIZATION OF THE NAMBU-GOTO STRING . . . . 151
13.1. GENERAL CONSIDERATIONS-VIRASORO ALGEBRA . .. 151
13.1.1. INTRODUCTION 151
13.1.2. FOCK REPRESENTATION-VIRASORO OPERATORS . 152 13.1.3. VIRASORO
ALGEBRA 154
13.1.4. VIRASORO CONSTRAINTS VERSUS THE WHEELER-DE WITT EQUATION 155
13.1.5. VIRASORO ALGEBRA AND KAC-MOODY ALGEBRAS . 159 13.1.6. VIRASORO
ALGEBRA IN CURVED BACKGROUNDS . 161 13.2. BECCHI-ROUET-STORA-TYUTIN
(BRST) QUANTIZATION OF THE STRING 162
13.2.1. BRST QUANTIZATION-A RAPID SURVEY . . 162
13.2.2. CLASSICAL EXPRESSION OF THE BRST CHARGE . 165 13.2.3. GHOST FOCK
SPACE 166
13.2.4. NILPOTENCY OF THE QUANTUM BRST OPERATOR . 168 13.2.5. CRITICAL
DIMENSION IN CURVED BACKGROUNDS . 169 13.2.6. PHYSICAL SUBSPACE 170
13.2.7. REMARKS ON THE DOUBLING 176
13.2.8. MISCELLANEA 178
13.3. LIGHT-CONE GAUGE QUANTIZATION 181
13.3.1. POINCARE INVARIANCE OF THE QUANTUM THEORY . 181 13.3.2.
DESCRIPTION OF THE SPECTRUM . . .. 183
13.3.3. CLOSED STRING-POINCARE INVARIANCE . .. 185
13.3.4. SPECTRUM (CLOSED STRING) 186
13.4. COVARIANT QUANTIZATION 187
13.4.1. ELIMINATION OF GHOSTS AS THE CENTRAL ISSUE IN THE COVARIANT
APPROACH 187
13.4.2. VERTEX OPERATORS 191
13.4.3. DDF STATES 193
13.4.4. NO-GHOST THEOREM FOR D = 26, A 0 = 1 . . 196
13.4.5. QUANTUM GAUGE INVARIANCE . . .. 199
IMAGE 5
X CONTENTS
14. THE FERMIONIC STRING: CLASSICAL ANALYSIS . . .. 201
14.1. LOCAL SUPERSYMMETRY IN TWO DIMENSIONS . . . 2 01
14.2. SUPERCONFORMAL ALGEBRA 202
14.2.1. SQUARE ROOT OF THE BOSONIC CONSTRAINTS AND FERMIONIC CONSTRAINTS
202
14.2.2. BOUNDARY CONDITIONS 207
14.2.3. SUPERGAUGE TRANSFORMATIONS-LIGHT-CONE GAUGE CONDITIONS 209
14.2.4. POINCARE GENERATORS 210
14.3. FOURIER MODES (OPEN STRING) 210
14.3.1. FOURIER EXPANSION OF THE FIELDS . . . 210
14.3.2. SUPER-VIRASORO GENERATORS 211
14.3.3. POINCARE GENERATORS 213
14.3.4. REMARKS ON THE CLOSED STRING . . .. 213
14.3.5. SUPER-VIRASORO ALGEBRA 214
15. THE FERMIONIC STRING: Q U A N T UM ANALYSIS . . .. 217
15.1. BECCHI-ROUET-STORA-TYUTIN (BRST) QUANTIZATION OF THE NEVEU-SCHWARZ
MODEL 217
15.1.1. GHOST FOCK SPACE 217
15.1.2. BRST OPERATOR 218
15.1.3. CRITICAL DIMENSION 219
15.1.4. STRUCTURE OF THE PHYSICAL SUBSPACE . . . 219
15.2. BECCHI-ROUET-STORA-TYUTIN (BRST) QUANTIZATION OF THE R A M O ND
MODEL 222
15.2.1. GHOST FOCK SPACE 222
15.2.2. BRST OPERATOR 223
15.2.3. CRITICAL DIMENSION 224
15.2.4. STRUCTURE OF THE PHYSICAL SUBSPACE . . . 226
15.2.5. REMARKS ON THE CLOSED STRING . . .. 228
15.3. LIGHT-CONE G A U GE QUANTIZATION OF THE NEVEU-SCHWARZ MODEL 229
15.3.1. POINCARE INVARIANCE 229
15.3.2. NEVEU-SCHWARZ SPECTRUM 230
15.3.3. THE CLOSED NEVEU-SCHWARZ SPECTRUM . . 231
15.4. LIGHT-CONE G A U GE QUANTIZATION OF THE R A M O ND MODEL 232
15.4.1. POINCARE INVARIANCE 232
1-5.4.2. R A M O ND SPECTRUM 232
15.4.3. CLOSED STRING 234
15.5. SUPERSYMMETRY IN TEN DIMENSIONS . . .. 235
15.5.1. OPEN STRING 235
15.5.2. CLOSED STRING 236
IMAGE 6
CONTENTS XI
16. THE SUPERSTRING 237
16.1. COVARIANT ACTION 237
16.1.1. SUSY(N)/SO(D - 1,1) AS TARGET SPACE . . 237
16.1.2. INVARIANT ACTIONS 240
16.1.3. LOCAL SUPERSYMMETRY 243
16.1.4. EQUATIONS OF MOTION AND BOUNDARY CONDITIONS 246 16.1.5.
STRUCTURE OF GAUGE SYMMETRIES . . .. 247
16.1.6. SUPER-POINCARE CHARGES 249
16.1.7. HAMILTONIAN FORMALISM 250
16.1.8. LIGHT-CONE GAUGE 251
16.2. QUANTUM THEORY . 255
16.3. THE SUPERPARTICLE 256
16.3.1. ACTION-GAUGE SYMMETRIES 256
16.3.2. SUPER-POINCARE CHARGES 258
16.3.3. HAMILTONIAN FORMALISM 258
16.3.4. MEANING OF THE CONSTRAINTS . . .. 260
16.3.5. SIEGEL S MODEL 261
16.3.6. LIGHT-CONE GAUGE 266
17. THE HETEROTIC STRING 273
APPENDIX A. BRST-BASED DEMONSTRATION OF THE NO-GHOST THEOREM FOR THE
BOSONIC STRING . . .. 275
APPENDIX B. Y MATRICES IN TEN DIMENSIONS 279
B.I. SYMMETRY PROPERTIES 279
B.2. FIERZ REARRANGEMENTS 281
APPENDIX C. LIGHT-CONE GAUGE DECOMPOSITION OF TEN- DIMENSIONAL SPINORS
283
REFERENCES 289
INDEX 293
|
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| spelling | Brink, Lars Verfasser aut Principles of string theory Lars Brink and Marc Henneaux New York u.a. Plenum Pr. 1988 XIII, 297 S. txt rdacontent n rdamedia nc rdacarrier Series of the Centro de Estudios Cientificos de Santiago Literaturangaben Stringtheorie (DE-588)4224278-2 gnd rswk-swf Stringtheorie (DE-588)4224278-2 s DE-604 Henneaux, Marc Verfasser aut HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002645685&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brink, Lars Henneaux, Marc Principles of string theory Stringtheorie (DE-588)4224278-2 gnd |
| subject_GND | (DE-588)4224278-2 |
| title | Principles of string theory |
| title_auth | Principles of string theory |
| title_exact_search | Principles of string theory |
| title_full | Principles of string theory Lars Brink and Marc Henneaux |
| title_fullStr | Principles of string theory Lars Brink and Marc Henneaux |
| title_full_unstemmed | Principles of string theory Lars Brink and Marc Henneaux |
| title_short | Principles of string theory |
| title_sort | principles of string theory |
| topic | Stringtheorie (DE-588)4224278-2 gnd |
| topic_facet | Stringtheorie |
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