String cosmology: modern string theory concepts from the big bang to cosmic structure
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| Language: | English |
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Weinheim
Wiley-VCH-Verl.
2009
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| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XVI, 313 S. Ill., graph. Darst. |
| ISBN: | 9783527408627 |
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Titel: String Cosmology
Autor: Erdmenger, Johanna
Jahr: 2009
Contents
Preface XI
1 Introduction to Cosmology and String Theory 1
Johanna Erdmenger and Martin Ammon
1.1 Introduction 1
1.2 Foundations of Cosmology 1
1.2.1 Metric and Einstein Equations 2
1.2.2 Energy Content of the Universe 4
1.2.3 Development of the Universe 6
1.3 Inflation 7
1.3.1 Puzzles Within the Big Bang Model 7
1.3.2 The Concept of Inflation 7
1.4 Fluctuations 9
1.4.1 Characterization of Small Fluctuations 9
1.4.2 Power Spectrum 10
1.4.3 Fluctuations and Inflation 11
1.5 Bosonic String Theory 22
1.5.1 Open and Closed Strings 14
1.5.1.1 Closed Strings 15
1.5.1.2 Open Strings 15
1.5.2 Quantization 26
1.5.3 String Perturbation Theory:
Interactions and Scattering Amplitudes 17
1.5.4 Bosonic String Theory in Background Fields 19
1.5.5 Chan-Paton Factors 22
1.5.6 Oriented Versus Unoriented Strings 22
1.6 Superstring Theory 23
1.6.1 The RNS Formalism of Superstring Theory 23
1.6.2 Boundary Conditions for Fermions 24
1.6.2.1 Open Strings 24
1.6.2.2 Closed String 25
1.6.3 Type IIA and Type IIB Superstring 26
1.6.4 Type I Superstring 26
String Cosmology. Edited by Johanna Erdmenger
Copyright © 2009 WILEY-VCH Verlag GmbH Co. KGaA, Weinheim
ISBN: 978-3-527-40862-7
VI Contents
1.6.5 Heterotic Superstring 27
1.7 String Dualities and M-Theory 28
1.7.1 Low-Energy Effective Action of Superstring Theory 28
1.7.2 T-Duality 29
1.7.2.1 T-Dualityof Closed Strings 30
1.7.2.2 T-Duality of Open Strings 31
1.7.2.3 T-Duality in Superstring Theory 32
1.7.3 S-Duality 32
1.7.4 Web of Dualities and M-Theory 33
1.7.4.1 Type IIA String Theory and M-Theory 34
1.7.4.2 Heterotic £8 x £g String Theory and M-Theory 35
1.8 D-Branes 36
1.8.1 Effective Action of D-Branes 36
1.8.2 D-Branes as Charged BPS Objects 38
1.9 Compactification 38
1.9.1 String Theory on Calabi-Yau Manifolds 39
1.9.1.1 Low-Energy Effective Theory 40
1.9.2 String Theory on Orbifolds 41
1.9.3 String Moduli and Their Stabilization 42
1.10 String Thermodynamics 43
1.11 Gauge-Gravity Duality 44
1.12 Summary 45
References 45
2 String Inflation I: Brane Inflation 47
Marco Zagermcmn
2.1 Introduction 47
2.1.1 Inflation in String Theory and Moduli Stabilization 49
2.1.2 Brane Inflation Models 50
2.1.3 The Rest of this Chapter 51
2.2 Moduli Stabilization in Type I IB String Theory 52
2.2.1 Type IIB Calabi-Yau Orientifolds and Their Moduli 52
2.2.2 The Tree-Level Effective Action 56
2.2.3 The Volume Modulus 57
2.2.4 de Sitter Uplifting 58
2.3 Warped D3/D3-Brane Inflation (Slow-Roll) 59
2.3.1 The Warped Throat Geometry 61
2.3.2 Towards Slow-Roll Inflation 61
2.3.3 Volume Stabilization 63
2.3.4 The Inflaton Dependence of W 64
2.4 D3/D7-Brane Inflation 67
2.4.1 A Compactified Example 70
2.4.2 Moduli Stabilization 71
2.5 DBI Inflation 73
2.5.1 Generalizing the Slow-Roll Conditions 76
Contents VII
2.6 Gravitational Waves and Inflaton Field Range 77
2.6.1 £ 3-Branes on a Symmetric Torus 79
2.6.2 D3-Branes in a Warped Throat 79
2.6.3 DBI Inflation 80
2.6.4 Wrapped Branes 81
2.6.5 Other Approaches and Related Work 82
2.7 Conclusions 83
References 84
3 String Inflation II: Inflation from Moduli 89
C.P. Burgess
3.1 Introduction 89
3.1.1 Closed-String Moduli as Inflatons 90
3.1.2 ABriefRoadmap 91
3.1.3 Justifying the Approximations 92
3.2 Accelerated Expansion in Supergravity 92
3.2.1 Accelerated Expansion in Higher Dimensions 92
3.2.2 Acceleration in 4D Supergravity 93
3.3 Type IIB Moduli and Their Stabilization 94
3.3.1 Leading-Order Expressions 94
3.3.2 Corrections to the Leading Approximation 95
3.3.2.1 Leading a'Corrections 96
3.3.2.2 String-Loop Corrections 96
3.3.2.3 Superpotential Corrections 97
3.3.3 Supersymmetry Breaking Potentials 98
3.4 Inflation from Kahler Moduli 99
3.4.1 Racetrack Inflation 100
3.4.2 Blow-Up Mode Inflation 103
3.4.3 Fiber Inflation 107
3.4.4 K3-Fibration Calabi-Yaus 107
3.4.5 The Scalar Potential 108
3.4.5.1 Kinetic Terms 111
3.4.5.2 Inflationary Slow Roll 111
3.5 What We've Learned so far 116
References 118
4 Cosmic Superstrings 121
Robert C. Myers and Mark Wyman
4.1 Introduction 121
4.1.1 Symmetry Breaking and Topological Defects 122
4.1.2 A Brief Review of Cosmic-String Networks 124
4.1.2.1 Small-Scale Structure 126
4.2 Superstring Theory on Cosmological Scales 127
4.2.1 Low String Tensions? 129
4.2.2 Strings After Inflation? 131
4.2.3 Stability of Cosmic Superstrings? 134
VIII Contents
4.2.3.1 Breakage on Space-Filling Branes 134
4.2.3.2 Confinement by Axion Domain Walls 136
4.2.3.3 "Baryon Decay" 136
4.2.3.4 Tachyon Condensation 137
4.2.3.5 An Example: The KKLMMT Model 137
4.2.4 Novel Physics from Cosmic Superstrings 140
4.2.4.1 Potential Problems for Superstring Networks 142
4.3 Observing Cosmic Superstrings 143
4.3.1 Experimental Limits and Observational Tests 144
4.3.1.1 Current Limits 144
4.3.1.2 Signatures Testable by Near-Term Observations 146
4.3.2 Novel Physics from Cosmic Superstrings: Observational Aspects
149
4.3.2.1 Reduced Intercommutation Rates 149
4.3.2.2 Cosmic (p, j)-Strings 150
4.3.3 Monopoles and Beads 150
4.3.4 Semilocal Strings 151
4.3.5 Miscellaneous Observations 151
4.4 Conclusion 152
References 152
5 The CMB as a Possible Probe of String Theory 157
Gary Shiu
5.1 Introduction 357
5.2 String Theory and Inflation 158
5.3 Example 1: Initial State of Inflation 160
5.3.1 Initial State Effects in the CMB and Their Relation to New Physics
163
5.3.2 Corrections to the Primordial Spectrum from Scale-Invariant Initial
Conditions 165
5.3.3 Corrections to the Primordial Spectrum from Boundary EFT 165
5.3.4 Observable Parameters and Physical Quantities 167
5.4 Example 2: Non-Gaussianities in the CMB 169
5.4.1 The Shape of Non-Gaussianities and Experimental Constraints
173
5.5 Example 3: Probing the Shape of Extra Dimensions 177
5.5.1 The Warped Deformed Conifold and Other Warped Throats 178
5.5.2 Observing Warped Geometries via the CMB 182
5.6 Summary and Future Directions 186
References 188
6 String Gas Cosmology 193
Robert H. Brandenberger
6.1 Introduction 193
6.1.1 Motivation 193
6.1.2 The Current Paradigm of Early Universe Cosmology 193
Contents IX
6.1.3 Challenges for String Cosmology 195
6.1.4 Preview 197
6.2 Basics of String Gas Cosmology 197
6.2.1 Principles of String Gas Cosmology 197
6.2.2 Dynamics of String Gas Cosmology 199
6.3 Moduli Stabilization in String Gas Cosmology 203
6.3.1 Principles 203
6.3.2 Stabilization of Geometrical Moduli 204
6.3.3 Dilaton Stabilization 207
6.4 String Gas Cosmology and Structure Formation 209
6.4.1 Overview 209
6.4.2 String Thermodynamics 212
6.4.3 Spectrum of Cosmological Fluctuations 217
6.4.4 Spectrum of Gravitational Waves 219
6.4.5 Discussion 221
6.5 Conclusions 222
References 225
7 Gauge-Gravity Duality and String Cosmology 231
Sumit R. Das
7.1 Introduction 231
7.2 Null Singularities and Matrix Theory 232
7.2.1 Matrix String Theory and Matrix Membrane Theory 232
7.2.1.1 Matrix String Theory 232
7.2.1.2 Matrix Membrane Theory 235
7.2.2 Matrix Big Bangs 236
7.2.2.1 IIB Big Bangs 237
7.2.2.2 pp-Wave Big Bangs 239
7.2.2.3 Issues 241
7.3 Cosmological Singularities and the AdS/CFT Correspondence 242
7.3.1 Time-Dependent Sources in Gauge Theory and Their Dual Cosmologies
243
7.3.1.1 Solutions with Null Singularities 243
7.3.1.2 Solutions with Space-Like Singularities 245
7.3.1.3 Energy-Momentum Tensors 247
7.3.1.4 General Properties of the Dual Gauge Theory 248
7.3.1.5 The Wavefunctional 250
7.3.1.6 Energy Production 253
7.3.1.7 Particle Production 254
7.3.1.8 The Fate of the System 255
7.3.1.9 Summary 256
7.3.2 AdS Cosmologies with Unstable Potentials and Their Duals 256
7.3.2.1 The Bulk Cosmology 257
7.3.2.2 The Dual Gauge Theory 258
7.3.2.3 Self Adjoint Extensions 259
X I Contents
7.3.2.4 Evolution of the Homogeneous Mode 260
7.3.2.5 The Inhomogeneous Mode and Particle Production 262
7.4 Conclusions 263
References 264
8 Heterotic M-Theory and Cosmology 267
Axel Krause
8.1 Introduction 267
8.2 Heterotic M-Theory Flux Compactifications 269
8.2.1 Geometry 269
8.2.2 G-Flux 271
8.2.3 SU(3) Structure 272
8.3 Heterotic Cosmic Strings 272
8.3.1 Wrapped M2 and M5-Branes 273
8.3.2 Cosmic String Tensions 275
8.3.3 Stability 278
8.3.4 Production 281
8.3.5 Relation to Other Types of Cosmic Strings 283
8.4 Towards Dark Energy from M-Theory 284
8.4.1 The Dark Energy Enigma 285
8.4.2 Fine-Tuning Problem and Two-Step Strategy 287
8.4.3 Dark Energy and Supergravity 288
8.4.4 Heterotic versus Type IIB String Theory 289
8.4.5 Vacuum Energy in Heterotic String Theory 291
8.4.6 Vacuum Energy in Heterotic M-Theory 293
8.5 Multibrane Inflation and Gravitational Waves 296
8.5.1 Multi M5-Brane Inflation 296
8.5.2 Detectable Gravitational Waves 299
References 300
Index 305 |
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| spelling | String cosmology modern string theory concepts from the big bang to cosmic structure ed. by Johanna Erdmenger Weinheim Wiley-VCH-Verl. 2009 XVI, 313 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturangaben Cosmology String models Kosmologie (DE-588)4114294-9 gnd rswk-swf Superstringtheorie (DE-588)4224277-0 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Kosmologie (DE-588)4114294-9 s Superstringtheorie (DE-588)4224277-0 s DE-604 Erdmenger, Johanna 1969- (DE-588)129410284 edt text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3192044&prov=M&dok_var=1&dok_ext=htm Inhaltstext HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017684145&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | String cosmology modern string theory concepts from the big bang to cosmic structure Cosmology String models Kosmologie (DE-588)4114294-9 gnd Superstringtheorie (DE-588)4224277-0 gnd |
| subject_GND | (DE-588)4114294-9 (DE-588)4224277-0 (DE-588)4143413-4 |
| title | String cosmology modern string theory concepts from the big bang to cosmic structure |
| title_auth | String cosmology modern string theory concepts from the big bang to cosmic structure |
| title_exact_search | String cosmology modern string theory concepts from the big bang to cosmic structure |
| title_full | String cosmology modern string theory concepts from the big bang to cosmic structure ed. by Johanna Erdmenger |
| title_fullStr | String cosmology modern string theory concepts from the big bang to cosmic structure ed. by Johanna Erdmenger |
| title_full_unstemmed | String cosmology modern string theory concepts from the big bang to cosmic structure ed. by Johanna Erdmenger |
| title_short | String cosmology |
| title_sort | string cosmology modern string theory concepts from the big bang to cosmic structure |
| title_sub | modern string theory concepts from the big bang to cosmic structure |
| topic | Cosmology String models Kosmologie (DE-588)4114294-9 gnd Superstringtheorie (DE-588)4224277-0 gnd |
| topic_facet | Cosmology String models Kosmologie Superstringtheorie Aufsatzsammlung |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3192044&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017684145&sequence=000004&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT erdmengerjohanna stringcosmologymodernstringtheoryconceptsfromthebigbangtocosmicstructure |