String Theory Demystified

More documents

Recommendations

Info

Quiz Solutions 287 3. i( − ) 4. 1 4 1 1 µν 2 µν 2 µ ν η η s s 0 x x 0 + ln z − ln( z − z′ ) 4 2 5. ηµν 2 s 1 2 ( z − z′ ) µ ν 6. 0 x x 0 µν µ ν η 7. 0 x x 0 − (ln z+ ln z) 2πT 2 − − ′ ⎛ ⎞ ⎝ ⎜ ⎠ ⎟ + − ′ ⎛ ⎞ ⎝ ⎜ ⎠ ⎟ + − ′ ⎛ η µν z z z ln 1 ln 1 ln 1 4πT z z ⎝ z ⎜ ⎞ ⎠ ⎟ + + ′ ⎛ ⎧ ⎞ ⎫ ⎨ ln ⎝ ⎜1 ⎠ ⎟ ⎬ ⎩ ⎭ z z µν η 8. − ln( z− z′ )( z− z′ ) + ln( z − z′ )( z − z′ ) 4πT { } ⎛ k ⎞ s ik⋅ X( w) ik⋅ X( w) 9. − + ∂ s ⎝ ⎜ w z−w − e z w e 2 2 2 1 2 2( ) ⎠ ⎟ Chapter 6 1. 0 3 2 ⎛ 2⎞ 3 2. ∂ ∂ + − 2 ⎝ ⎜ 12 3⎠ ⎟ ∂ ⎛ D ⎞ ∫ ⎝ ⎜ cc cc ⎠ ⎟ 3. 26 4. k 2 1 = α ′ Chapter 7 1. You will need the supplementary boundary condition 2π ∞ dσ dτ[ ∂ + ( ψ−δψ−) +∂− ( ψ+ δψ+ ) ]= 0 ∫0∫−∞ 2. i T µ ν ψ ραψ . 2
288 <strong>String</strong> <strong>Theory</strong> Demystifi ed µν T µ ν ν µ µ ν 3. Jα = ( X ∂αX −X ∂ α X + iψ ραψ ) 2 4. 0 α ⎛ β µ 1 β λ µ ⎞ 5. δL =∂ ε ∂ ∂ X − δ ∂ X ∂ X B β ⎝ ⎜ X µ β α µ λ ⎠ ⎟ 2 6. 0 7. 0 8. 0 9. 1 10. Massless vector boson, spin-3/2 fermion Chapter 8 1. α′ 25 α′ ( ) + = ( ) + 4 4 2 25 2 p N p N R R L L Chapter 9 ∂θ A α 1. Use ⎡⎣ εQ, θA⎤⎦ = εB + i⎡ε ρ θ θ B B BC C, A ∂θ ⎣ ⎤⎦ ∂ 2. 0 3. Γ µ 4. 0 Chapter 10 1. c 2. b 3. a 4. c 5. b 6. d α
Page 2 and 3:
Accounting Demystified Advanced Cal
Page 4 and 5:
Copyright © 2009 by The McGraw-Hil
Page 6 and 7:
For more information about this tit
Page 8 and 9:
Contents vii BRST in String Theory-
Page 10 and 11:
Contents ix CHAPTER 14 Black Holes
Page 12 and 13:
PREFACE String theory is the greate
Page 14 and 15:
Preface xiii time as this one to he
Page 16 and 17:
CHAPTER 1 Introduction General rela
Page 18 and 19:
CHAPTER 1 Introduction 3 fl at spac
Page 20 and 21:
CHAPTER 1 Introduction 5 we say tha
Page 22 and 23:
CHAPTER 1 Introduction 7 initial an
Page 24 and 25:
CHAPTER 1 Introduction 9 a spin-2 b
Page 26 and 27:
CHAPTER 1 Introduction 11 So if α
Page 28 and 29:
CHAPTER 1 Introduction 13 Figure 1.
Page 30 and 31:
CHAPTER 1 Introduction 15 • Type
Page 32 and 33:
CHAPTER 1 Introduction 17 Close up,
Page 34 and 35:
CHAPTER 1 Introduction 19 5. The mi
Page 36 and 37:
CHAPTER 2 The Classical String I: E
Page 38 and 39:
CHAPTER 2 Equations of Motion 23 To
Page 40 and 41:
CHAPTER 2 Equations of Motion 25 No
Page 42 and 43:
Page 44 and 45:
CHAPTER 2 Equations of Motion 29 ct
Page 46 and 47:
CHAPTER 2 Equations of Motion 31 Th
Page 48 and 49:
CHAPTER 2 Equations of Motion 33 is
Page 50 and 51:
CHAPTER 2 Equations of Motion 35 Si
Page 52 and 53:
CHAPTER 2 Equations of Motion 37 ho
Page 54 and 55:
CHAPTER 2 Equations of Motion 39 Th
Page 56 and 57:
CHAPTER 2 Equations of Motion 41 wh
Page 58 and 59:
CHAPTER 2 Equations of Motion 43 In
Page 60 and 61:
Page 62 and 63:
CHAPTER 2 Equations of Motion 47 We
Page 64 and 65:
CHAPTER 2 Equations of Motion 49 In
Page 66 and 67:
CHAPTER 3 The Classical String II:
Page 68 and 69:
CHAPTER 3 Symmetries and Worldsheet
Page 70 and 71:
Page 72 and 73:
Page 74 and 75:
Page 76 and 77:
Page 78 and 79:
Page 80 and 81:
Page 82 and 83:
Page 84 and 85:
CHAPTER 4 String Quantization At th
Page 86 and 87:
CHAPTER 4 String Quantization Here,
Page 88 and 89:
CHAPTER 4 String Quantization That
Page 90 and 91:
CHAPTER 4 String Quantization Using
Page 92 and 93:
CHAPTER 4 String Quantization expec
Page 94 and 95:
CHAPTER 4 String Quantization † A
Page 96 and 97:
CHAPTER 4 String Quantization To ob
Page 98 and 99:
CHAPTER 4 String Quantization lower
Page 100 and 101:
CHAPTER 4 String Quantization this)
Page 102 and 103:
CHAPTER 4 String Quantization Norma
Page 104 and 105:
CHAPTER 5 Conformal Field Theory Pa
Page 106 and 107:
Page 108 and 109:
Page 110 and 111:
Page 112 and 113:
Page 114 and 115:
Page 116 and 117:
Page 118 and 119:
Page 120 and 121:
Page 122 and 123:
Page 124 and 125:
Page 126 and 127:
Page 128 and 129:
Page 130 and 131:
CHAPTER 6 BRST Quantization So far
Page 132 and 133:
CHAPTER 6 BRST Quantization 117 It
Page 134 and 135:
CHAPTER 6 BRST Quantization 119 Cal
Page 136 and 137:
CHAPTER 6 BRST Quantization 121 The
Page 138 and 139:
CHAPTER 6 BRST Quantization 123 To
Page 140 and 141:
CHAPTER 6 BRST Quantization 125 The
Page 142 and 143:
CHAPTER 7 RNS Superstrings The real
Page 144 and 145:
CHAPTER 7 RNS Superstrings 129 EXAM
Page 146 and 147:
CHAPTER 7 RNS Superstrings 131 SOLU
Page 148 and 149:
CHAPTER 7 RNS Superstrings 133 In t
Page 150 and 151:
CHAPTER 7 RNS Superstrings 135 Now,
Page 152 and 153:
CHAPTER 7 RNS Superstrings 137 We c
Page 154 and 155:
CHAPTER 7 RNS Superstrings 139 We o
Page 156 and 157:
CHAPTER 7 RNS Superstrings 141 OPEN
Page 158 and 159:
CHAPTER 7 RNS Superstrings 143 If w
Page 160 and 161:
CHAPTER 7 RNS Superstrings 145 The
Page 162 and 163:
CHAPTER 7 RNS Superstrings 147 From
Page 164 and 165:
CHAPTER 7 RNS Superstrings 149 The
Page 166 and 167:
CHAPTER 7 RNS Superstrings 151 3. A
Page 168 and 169:
CHAPTER 8 Compactifi cation and T-D
Page 170 and 171:
Page 172 and 173:
Page 174 and 175:
Page 176 and 177:
Page 178 and 179:
Page 180 and 181:
Page 182 and 183:
CHAPTER 9 Superstring Theory Contin
Page 184 and 185:
Page 186 and 187:
Page 188 and 189:
Page 190 and 191:
Page 192 and 193:
Page 194 and 195:
Page 196 and 197:
Page 198 and 199:
Page 200 and 201:
Page 202 and 203:
CHAPTER 10 A Summary of Superstring
Page 204 and 205:
Page 206 and 207:
Page 208 and 209:
Page 210 and 211:
CHAPTER 11 Type II String Theories
Page 212 and 213:
Page 214 and 215:
Page 216 and 217:
Page 218 and 219:
Page 220 and 221:
Page 222 and 223:
CHAPTER 12 Heterotic String Theory
Page 224 and 225:
Page 226 and 227:
Page 228 and 229:
Page 230 and 231:
Page 232 and 233:
Page 234 and 235:
Page 236 and 237:
CHAPTER 13 D-Branes One of the most
Page 238 and 239:
CHAPTER 13 D-Branes 223 The Space-T
Page 240 and 241:
CHAPTER 13 D-Branes 225 Once again
Page 242 and 243:
CHAPTER 13 D-Branes 227 and ( X i i
Page 244 and 245:
CHAPTER 13 D-Branes 229 fi rst exci
Page 246 and 247:
CHAPTER 13 D-Branes 231 a set of D-
Page 248 and 249:
CHAPTER 13 D-Branes 233 D-brane 1 a
Page 250 and 251:
CHAPTER 13 D-Branes 235 Tachyons ca
Page 252 and 253: CHAPTER 13 D-Branes 237 We consider
Page 254 and 255: CHAPTER 14 Black Holes Black holes,
Page 256 and 257: CHAPTER 14 Black Holes 241 This equ
Page 258 and 259: CHAPTER 14 Black Holes 243 Here, G
Page 260 and 261: CHAPTER 14 Black Holes 245 When the
Page 262 and 263: CHAPTER 14 Black Holes 247 hole squ
Page 264 and 265: CHAPTER 14 Black Holes 249 Entropy
Page 266 and 267: CHAPTER 14 Black Holes 251 Recallin
Page 268 and 269: CHAPTER 14 Black Holes 253 Now, the
Page 270 and 271: CHAPTER 15 The Holographic Principl
Page 280 and 281: CHAPTER 16 String Theory and Cosmol
Page 294 and 295: Final Exam 1 1. Consider the lagran
Page 296 and 297: Final Exam 281 0 0 26. Find a simpl
Page 298 and 299: Final Exam 283 68. When a single sp
Page 300 and 301: Chapter 1 1. b 6. a 2. a 7. c 3. c
Page 304 and 305: Quiz Solutions 289 Chapter 11 1. c
Page 306 and 307: 1. P 2. E µ 2 ν 1 ( X′ ) X µ
Page 308 and 309: Final Exam Solutions 293 27. Supers
Page 310 and 311: Final Exam Solutions 295 73. Types
Page 312 and 313: Books References Becker, K., M. Bec
Page 314 and 315: |NS〉 ⊕ |NS〉 Sector, 203 |NS
Page 316 and 317: INDEX 301 Cyclic model, 277 Cylinde
Page 318 and 319: INDEX 303 Mechanics, quantum. See Q
Page 320 and 321: INDEX 305 Schwarzschild metric, 242
show all

String Theory Demystified

Create successful ePaper yourself

Delete template?

Save as template?