String Theory Demystified

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For more information about this title, click here CONTENTS Preface xi CHAPTER 1 Introduction 1 A Quick Overview of General Relativity 2 A Quick Primer on Quantum Theory 3 The Standard Model 8 Quantizing the Gravitational Field 8 Some Basic Analysis in String Theory 10 Unifi cation and Fundamental Constants 11 String Theory Overview 12 Summary 18 Quiz 18 CHAPTER 2 The Classical String I: Equations of Motion 21 The Relativistic Point Particle 22 Strings in Space-Time 28 Equations of Motion for the String 32 The Polyakov Action 36 Mathematical Aside: The Euler Characteristic 36 Light-Cone Coordinates 39 Solutions of the Wave Equation 43 Open Strings with Free Endpoints 44 Closed Strings 46
vi String Theory Demystifi ed Open Strings with Fixed Endpoints 47 Poisson Brackets 49 Quiz 49 CHAPTER 3 The Classical String II: Symmetries and Worldsheet Currents 51 The Energy-Momentum Tensor 52 Symmetries of the Polyakov Action 53 Transforming to a Flat Worldsheet Metric 59 Conserved Currents from Poincaré Invariance 63 The Hamiltonian 67 Summary 67 Quiz 67 CHAPTER 4 String Quantization 69 Covariant Quantization 70 Light-Cone Quantization 85 Summary 87 Quiz 87 CHAPTER 5 Conformal Field Theory Part I 89 The Role of Conformal Field Theory in String Theory 92 Wick Rotations 93 Complex Coordinates 94 Generators of Conformal Transformations 98 The Two-Dimensional Conformal Group 100 Central Extension 104 Closed String Conformal Field Theory 105 Wick Expansion 107 Operator Product Expansion 110 Summary 114 Quiz 114 CHAPTER 6 BRST Quantization 115 BRST Operators and Introductory Remarks 116 BRST-Invariant States 118
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CHAPTER 2 Equations of Motion 41 wh
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CHAPTER 2 Equations of Motion 43 In
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CHAPTER 2 Equations of Motion 45 No
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CHAPTER 2 Equations of Motion 47 We
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CHAPTER 2 Equations of Motion 49 In
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CHAPTER 3 The Classical String II:
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CHAPTER 3 Symmetries and Worldsheet
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CHAPTER 4 String Quantization At th
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CHAPTER 4 String Quantization Here,
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CHAPTER 4 String Quantization That
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CHAPTER 4 String Quantization Using
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CHAPTER 4 String Quantization expec
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CHAPTER 4 String Quantization † A
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CHAPTER 4 String Quantization To ob
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CHAPTER 4 String Quantization lower
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CHAPTER 4 String Quantization this)
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CHAPTER 4 String Quantization Norma
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CHAPTER 5 Conformal Field Theory Pa
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CHAPTER 6 BRST Quantization So far
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CHAPTER 6 BRST Quantization 117 It
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CHAPTER 6 BRST Quantization 119 Cal
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CHAPTER 6 BRST Quantization 121 The
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CHAPTER 6 BRST Quantization 123 To
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CHAPTER 6 BRST Quantization 125 The
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CHAPTER 7 RNS Superstrings The real
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CHAPTER 7 RNS Superstrings 129 EXAM
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CHAPTER 7 RNS Superstrings 131 SOLU
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CHAPTER 7 RNS Superstrings 133 In t
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CHAPTER 7 RNS Superstrings 135 Now,
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CHAPTER 7 RNS Superstrings 137 We c
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CHAPTER 7 RNS Superstrings 139 We o
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CHAPTER 7 RNS Superstrings 141 OPEN
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CHAPTER 7 RNS Superstrings 143 If w
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CHAPTER 7 RNS Superstrings 145 The
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CHAPTER 7 RNS Superstrings 147 From
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CHAPTER 7 RNS Superstrings 149 The
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CHAPTER 7 RNS Superstrings 151 3. A
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CHAPTER 8 Compactifi cation and T-D
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CHAPTER 9 Superstring Theory Contin
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CHAPTER 10 A Summary of Superstring
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CHAPTER 11 Type II String Theories
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CHAPTER 12 Heterotic String Theory
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CHAPTER 13 D-Branes One of the most
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CHAPTER 13 D-Branes 223 The Space-T
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CHAPTER 13 D-Branes 225 Once again
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CHAPTER 13 D-Branes 227 and ( X i i
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CHAPTER 13 D-Branes 229 fi rst exci
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CHAPTER 13 D-Branes 231 a set of D-
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CHAPTER 13 D-Branes 233 D-brane 1 a
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CHAPTER 13 D-Branes 235 Tachyons ca
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CHAPTER 13 D-Branes 237 We consider
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CHAPTER 14 Black Holes Black holes,
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CHAPTER 14 Black Holes 241 This equ
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CHAPTER 14 Black Holes 243 Here, G
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CHAPTER 14 Black Holes 245 When the
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CHAPTER 14 Black Holes 247 hole squ
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CHAPTER 14 Black Holes 249 Entropy
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CHAPTER 14 Black Holes 251 Recallin
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CHAPTER 14 Black Holes 253 Now, the
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CHAPTER 15 The Holographic Principl
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CHAPTER 16 String Theory and Cosmol
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Final Exam 1 1. Consider the lagran
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Final Exam 281 0 0 26. Find a simpl
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Final Exam 283 68. When a single sp
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Chapter 1 1. b 6. a 2. a 7. c 3. c
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Quiz Solutions 287 3. i( − ) 4.
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Quiz Solutions 289 Chapter 11 1. c
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1. P 2. E µ 2 ν 1 ( X′ ) X µ
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Final Exam Solutions 293 27. Supers
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Final Exam Solutions 295 73. Types
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Books References Becker, K., M. Bec
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|NS〉 ⊕ |NS〉 Sector, 203 |NS
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INDEX 301 Cyclic model, 277 Cylinde
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INDEX 303 Mechanics, quantum. See Q
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INDEX 305 Schwarzschild metric, 242
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