Preface |
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xi | |
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1 | (20) |
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A Quick Overview of General Relativity |
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2 | (1) |
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A Quick Primer on Quantum Theory |
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3 | (5) |
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8 | (1) |
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Quantizing the Guravitational Field |
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8 | (2) |
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Some Basic Analysis in String Theory |
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10 | (1) |
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Unification and Fundamental Counstants |
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11 | (1) |
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12 | (6) |
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18 | (1) |
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18 | (3) |
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The Classical String I: Eqauations of Motion |
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21 | (30) |
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The Relativistic Point Particle |
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22 | (6) |
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28 | (4) |
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Equations of Motion for the String |
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32 | (4) |
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36 | (1) |
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Mathematical Aside: The Euler Characteristic |
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36 | (3) |
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39 | (4) |
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Solutions of the Wave Equation |
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43 | (1) |
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Open Sting with Free Endpoints |
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44 | (2) |
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46 | (1) |
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Open Strings with Fixed Endpoints |
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47 | (2) |
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49 | (1) |
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49 | (2) |
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The Classical String II: Symmetries and Worldsheet Currents |
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51 | (18) |
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The Energy-Momentum Tensor |
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52 | (1) |
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Symmetries of the Polyakov Action |
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53 | (6) |
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Transforming to a Flat Worldsheet Metric |
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59 | (4) |
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Conserved Currents from Poincare Invariance |
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63 | (4) |
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67 | (1) |
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67 | (1) |
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67 | (2) |
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69 | (20) |
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70 | (15) |
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85 | (2) |
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87 | (1) |
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87 | (2) |
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Conformal Field Theory Part I |
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89 | (26) |
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The Role of Conformal Field Theory in String Theory |
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92 | (1) |
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93 | (1) |
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94 | (4) |
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Generators of Conformal Transformations |
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98 | (2) |
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The Two-Dimensional Conformal Group |
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100 | (4) |
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104 | (1) |
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Closed String Conformal Field Theory |
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105 | (2) |
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107 | (3) |
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Operator Product Expansion |
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110 | (4) |
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114 | (1) |
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114 | (1) |
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115 | (12) |
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BRST Operators and Introductory Remarks |
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116 | (2) |
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118 | (2) |
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BRST in String Theory-CFT |
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120 | (2) |
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122 | (3) |
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125 | (1) |
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125 | (1) |
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126 | (1) |
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127 | (26) |
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128 | (5) |
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133 | (3) |
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The Energy-Momentum Tensor |
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136 | (4) |
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Mode Expansions and Boundary Conditions |
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140 | (3) |
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143 | (1) |
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144 | (1) |
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The Super-Virasoro Algebra |
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145 | (2) |
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147 | (1) |
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148 | (1) |
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149 | (1) |
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150 | (1) |
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150 | (3) |
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Compacticfication and T-Duality |
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153 | (14) |
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Compactification of the 25th Dimension |
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153 | (2) |
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155 | (4) |
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T-Duality for Closed Strings |
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159 | (3) |
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Open Strings and I-Duality |
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162 | (2) |
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164 | (1) |
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165 | (1) |
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165 | (2) |
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Superstring Theory Continued |
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167 | (20) |
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Superspace and Superfields |
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168 | (3) |
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Superfiels for Worldsheet Supersymmetry |
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171 | (2) |
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173 | (1) |
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A Manifestly Supersymmetric Action |
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174 | (1) |
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175 | (5) |
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Space-Time Supersymmetry and Strings |
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180 | (1) |
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181 | (3) |
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184 | (1) |
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185 | (1) |
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186 | (1) |
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A Summary of Superstring Theory |
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187 | (8) |
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A Summary of Superstring Theory |
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187 | (3) |
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190 | (2) |
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192 | (1) |
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193 | (2) |
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195 | (12) |
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195 | (5) |
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200 | (1) |
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201 | (2) |
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203 | (1) |
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The Massless Specturm of Different Sectors |
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203 | (1) |
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204 | (1) |
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205 | (2) |
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207 | (14) |
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The Action for SO(32) Theory |
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208 | (1) |
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Quantization of SO(32) Theory |
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209 | (5) |
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214 | (2) |
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Compactification and Quantized Momentum |
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216 | (3) |
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219 | (1) |
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219 | (2) |
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221 | (18) |
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223 | (2) |
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225 | (5) |
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D-Branes in Superstring Theory |
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230 | (1) |
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230 | (5) |
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Tachyons and D-Brane Decay |
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235 | (2) |
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237 | (1) |
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237 | (2) |
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239 | (16) |
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Black Hoels in General Relativity |
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240 | (3) |
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243 | (3) |
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The Laws of Black Hole Mechanics |
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246 | (1) |
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Computing the Temperature of a Black Hole |
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247 | (2) |
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Entropy Calculations for Black Holes with String Theory |
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249 | (4) |
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253 | (1) |
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253 | (2) |
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The Holographic Principle and AdS/CFT Correspondence |
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255 | (10) |
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A Statement of the Holographic Principle |
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256 | (1) |
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A Qualitative Description of AdS/CFT Correspondence |
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257 | (1) |
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The Holographic Principle and M-Theory |
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258 | (2) |
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260 | (2) |
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262 | (1) |
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262 | (3) |
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String Theory and Cosmology |
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265 | (14) |
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266 | (1) |
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266 | (2) |
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268 | (5) |
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The Randall-Sundrum Model |
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273 | (2) |
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Brane wolds and the Ekpyrotic Universe |
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275 | (2) |
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277 | (1) |
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278 | (1) |
Final Exam |
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279 | (6) |
Quiz Solutions |
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285 | (6) |
Final Exam Solution |
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291 | (6) |
References |
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297 | (2) |
Index |
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299 | |