What is included with this book?
Preface | p. xi |
Introduction | p. 1 |
A Quick Overview of General Relativity | p. 2 |
A Quick Primer on Quantum Theory | p. 3 |
The Standard Model | p. 8 |
Quantizing the Gravitational Field | p. 8 |
Some Basic Analysis in String Theory | p. 10 |
Unification and Fundamental Constants | p. 11 |
String Theory Overview | p. 12 |
Summary | p. 18 |
Quiz | p. 18 |
The Classical String I: Equations of Motion | p. 21 |
The Relativistic Point Particle | p. 22 |
Strings in Space-Time | p. 28 |
Equations of Motion for the String | p. 32 |
The Polyakov Action | p. 36 |
Mathematical Aside: The Euler Characteristic | p. 36 |
Light-Cone Coordinates | p. 39 |
Solutions of the Wave Equation | p. 43 |
Open Strings with Free Endpoints | p. 44 |
Closed Strings | p. 46 |
Open Strings with Fixed Endpoints | p. 47 |
Poisson Brackets | p. 49 |
Quiz | p. 49 |
The Classical String II: Symmetries and Worldsheet Currents | p. 51 |
The Energy-Momentum Tensor | p. 52 |
Symmetries of the Polyakov Action | p. 53 |
Transforming to a Flat Worldsheet Metric | p. 59 |
Conserved Currents from Poincare Invariance | p. 63 |
The Hamiltonian | p. 67 |
Summary | p. 67 |
Quiz | p. 67 |
String Quantization | p. 69 |
Covariant Quantization | p. 70 |
Light-Cone Quantization | p. 85 |
Summary | p. 87 |
Quiz | p. 87 |
Conformal Field Theory Part I | p. 89 |
The Role of Conformal Field Theory in String Theory | p. 92 |
Wick Rotations | p. 93 |
Complex Coordinates | p. 94 |
Generators of Conformal Transformations | p. 98 |
The Two-Dimensional Conformal Group | p. 100 |
Central Extension | p. 104 |
Closed String Conformal Field Theory | p. 105 |
Wick Expansion | p. 107 |
Operator Product Expansion | p. 110 |
Summary | p. 114 |
Quiz | p. 114 |
BRST Quantization | p. 115 |
BRST Operators and Introductory Remarks | p. 116 |
BRST-Invariant States | p. 118 |
BRST in String Theory-CFT | p. 120 |
BRST Transformations | p. 121 |
No-Ghost Theorem | p. 125 |
Summary | p. 125 |
Quiz | p. 126 |
RNS Superstrings | p. 127 |
The Superstring Action | p. 128 |
Conserved Currents | p. 133 |
The Energy-Momentum Tensor | p. 136 |
Mode Expansions and Boundary Conditions | p. 140 |
Super-Virasoro Generators | p. 143 |
Canonical Quantization | p. 144 |
The Super-Virasoro Algebra | p. 145 |
The Open String Spectrum | p. 147 |
GSO Projection | p. 148 |
Critical Dimension | p. 149 |
Summary | p. 150 |
Quiz | p. 150 |
Compactification and T-Duality | p. 153 |
Compactification of the 25th Dimension | p. 153 |
Modified Mass Spectrum | p. 155 |
T-Duality for Closed Strings | p. 159 |
Open Strings and T-Duality | p. 162 |
D-Branes | p. 164 |
Summary | p. 165 |
Quiz | p. 165 |
Superstring Theory Continued | p. 167 |
Superspace and Superfields | p. 168 |
Superfield for Worldsheet Supersymmetry | p. 171 |
Grassman Integration | p. 173 |
A Manifestly Supersymmetric Action | p. 174 |
The Green-Schwarz Action | p. 175 |
Space-Time Supersymmetry and Strings | p. 180 |
Light-Cone Gauge | p. 181 |
Canonical Quantization | p. 184 |
Summary | p. 185 |
Quiz | p. 186 |
A Summary of Superstring Theory | p. 187 |
A Summary of Superstring Theory | p. 187 |
Superstring Theory | p. 190 |
Dualities | p. 192 |
Quiz | p. 193 |
Type II String Theories | p. 195 |
The R and NS Sectors | p. 195 |
The Spin Field | p. 200 |
Type II A String Theory | p. 201 |
Type II B Theory | p. 203 |
The Massless Spectrum of Different Sectors | p. 203 |
Summary | p. 204 |
Quiz | p. 205 |
Heterotic String Theory | p. 207 |
The Action for SO(32) Theory | p. 208 |
Quantization of SO(32) Theory | p. 209 |
The Spectrum | p. 214 |
Compactification and Quantized Momentum | p. 216 |
Summary | p. 219 |
Quiz | p. 219 |
D-Branes | p. 221 |
The Space-Time Arena | p. 223 |
Quantization | p. 225 |
D-Branes in Superstring Theory | p. 230 |
Multiple D-Branes | p. 230 |
Tachyons and D-Brane Decay | p. 235 |
Summary | p. 237 |
Quiz | p. 237 |
Black Holes | p. 239 |
Black Holes in General Relativity | p. 240 |
Charged Black Holes | p. 243 |
The Laws of Black Hole Mechanics | p. 246 |
Computing the Temperature of a Black Hole | p. 247 |
Entropy Calculations for Black Holes with String Theory | p. 249 |
Summary | p. 253 |
Quiz | p. 253 |
The Holographic Principle and AdS/CFT Correspondence | p. 255 |
A Statement of the Holographic Principle | p. 256 |
A Qualitative Description of AdS/CFT Correspondence | p. 257 |
The Holographic Principle and M-Theory | p. 258 |
More Correspondence | p. 260 |
Summary | p. 262 |
Quiz | p. 262 |
String Theory and Cosmology | p. 265 |
Einstein's Equations | p. 266 |
Inflation | p. 266 |
The Kasner Metric | p. 268 |
The Randall-Sundrum Model | p. 273 |
Brane Worlds and the Ekpyrotic Universe | p. 275 |
Summary | p. 277 |
Quiz | p. 278 |
Final Exam | p. 279 |
Quiz Solutions | p. 285 |
Final Exam Solutions | p. 291 |
References | p. 297 |
Index | p. 299 |
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