String Theory Demystified

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Quiz Solutions 289 Chapter 11 1. c 2. b 3. b 4. a 5. c Chapter 12 1. There are eight states, because there are eight transverse directions in spacetime in the light-cone gauge. 2. These are the 16 states associated with the extra bosonic dimensions. 3. This keeps them in the left-moving sector. 4. i j i j ij ⎡⎣ α , α ⎤ α α δ δ m n ⎦ = ⎡⎣ , ⎤ m m n ⎦ = m+ n, 0 5. 0 Chapter 13 1. φ = 0, ± 1 I J ⎡⎣ α , α ⎤ mδ δ m n ⎦ = m+ n, 0 2 A 2 4A 2. φ = 0, m =− ( tachyon), φ =± 1, m = > 0 ( not a tachyon) 3 3 3. φ = , ± φ 0 0 2 φ0 4. φ = 0,m =− 2α ′ 5. The stretching adds an energy 1 0 0 2α ′ αα a a to the string where 2 1 ⎛ 2 − 1 ⎞ 0 0 = 2 ′ ⎝ ⎜ 2 ′ ⎠ ⎟ α αα a a a a x x comes from the stretching between the branes. πα IJ
290 <strong>String</strong> <strong>Theory</strong> Demystifi ed Chapter 14 1. T = 2. T ≤ TH= 3. ~10 8 − K 2 2 ( mG ) − Q G 4 2πr 1 2 + 4π α′ 4. 2 10 68 × years 5. S = π QQ n−J 2 1 5 Chapter 15 2 4 2 z 1. F ≈ ag N s 2. It transforms the metric to the anti-de Sitter form ds R z dt dx z dz 2 2 2 2 2 1 2 ≈ ⎡ ( − ) − ⎤ . 2 ⎣⎢ ⎦⎥ 3. b 4. c 5. b Chapter 16 p 1. 1+ p2+ + pD−1 − g = t = t 2 2. No, because pj j 1 D 1 1 ∑ = ≠ . If pj = − D = 1 for all j, then this is an isotropic −1 universe. This shows that the Kasner metric cannot describe an isotropic universe if Kasner conditions are applied. 3. It is necessary to incorporate the fact that we are applying p to all three expanding dimensions and q to all n contracting dimensions. So the Kasner 2 2 conditions are − 3p+ nq= 1, 3p + nq = 1. D−1 1
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Accounting Demystified Advanced Cal
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Copyright © 2009 by The McGraw-Hil
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For more information about this tit
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Contents vii BRST in String Theory-
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Contents ix CHAPTER 14 Black Holes
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PREFACE String theory is the greate
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Preface xiii time as this one to he
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CHAPTER 1 Introduction General rela
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CHAPTER 1 Introduction 3 fl at spac
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CHAPTER 1 Introduction 5 we say tha
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CHAPTER 1 Introduction 7 initial an
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CHAPTER 1 Introduction 9 a spin-2 b
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CHAPTER 1 Introduction 11 So if α
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CHAPTER 1 Introduction 13 Figure 1.
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CHAPTER 1 Introduction 15 • Type
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CHAPTER 1 Introduction 17 Close up,
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CHAPTER 1 Introduction 19 5. The mi
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CHAPTER 2 The Classical String I: E
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CHAPTER 2 Equations of Motion 23 To
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CHAPTER 2 Equations of Motion 25 No
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CHAPTER 2 Equations of Motion 29 ct
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CHAPTER 2 Equations of Motion 31 Th
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CHAPTER 2 Equations of Motion 33 is
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CHAPTER 2 Equations of Motion 35 Si
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CHAPTER 2 Equations of Motion 37 ho
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CHAPTER 2 Equations of Motion 39 Th
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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 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
Page 254 and 255: CHAPTER 14 Black Holes Black holes,
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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
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