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Susskind, L., and J. Lindesay, An Introduction to Black Holes, Information and the String Theory Revolution: The Holographic Universe, World Scienti c Publishing Company, Singapore, 2005. Szabo, R., An Introduction to String Theory and D-Brane Dynamics, Imperial College Press, London, 2004. Zwiebach, B., A First Course in String Theory, Cambridge University Press, New York, 2004.
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Alvarez, E., L. Alvarez-Guame, and Y. Lozano, An Introduction to T-Duality in String Theory, lanl.arXiv.org (1994), arXiv:hep-th/9410237v2. Also available in Nucl. Phys. Proc. Suppl. 41 (1995) 1 20. Clifford, V. J., D-Brane Primer, http://www.Citebase.org/abstract id=oai% AarXiv.org%3Ahep-th%2F0007170. Kiritsis, E., Introduction to Non-perturbative String Theory, lanl.arXiv.org (1997), arXiv:hep-th/9708130v1. Mohaupt, T., Introduction to String Theory, lanl.arXiv.org (2002), arXiv:hep-th/ 0207249v1. Also available in Lect. Notes Phys. 631 (2003) 173 251. Ooguri, H., Gauge Theory and String Theory: An Introduction to the Ads/CFT Correspondence, lanl.arXiv.org (1999), arXiv:hep-lat/9911027v1. Also available in Nucl. Phys. Proc. Suppl. 83 (2000) 77 81. Susskind L., and E. Witten, The Holographic Bound in Anti de Sitter Space, http://xxx.lanl.gove/abs/hep-th/9805114; and Maldacena, J. M., The Large N Limit of Superconformal Field Theories and Super Gravity, Adv. Theor. Math. Phys. vol. 2, 1998, 231 252. t Hooft, G., String Theory Lectures, online at www.phys.uu.nl/~thooft/lectures/ string.html.
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|NS |NS Sector, 203 |NS |R Sector, 204 |R |NS Sector, 204 |R |R Sector, 204 3D-branes, 16 25th dimension, compacti cation of, 153 155
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Abbott, Edward, 16 Action for heterotic SO(32) string theory, 208 209 Action principle, 23, 32 AdS/CFT (anti-de Sitter/conformal eld theory) correspondence, 257, 260 261 Analytic functions, 100 Anisotropic Kasner metric, 269 Annihilation operators, 76 Anomalies, 121, 123 Anticommutation relations, 144, 146 Anticommuting Grassman variables, 171 173 Anti-de Sitter universe, 266 Anti-de Sitter/conformal eld theory (AdS/CFT) correspondence, 257, 260 261 Antiholomorphic functions, 97 Antiperiodic fermions, 213 Antiperiodic sector A, 209 210 Antiquark, 231 Auxiliary elds, 26
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Bardeen, James, 246 Big bang theory, 265 Bispinors, 200 Black holes charged, 243 245 computing temperature of, 247 248 entropy calculations for, 249 253 in general relativity, 240 243 laws of mechanics, 246 247 overview, 239 240
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Bosonic string theory. See also BRST quantization; D-branes; Equations of motion; String quantization; Worldsheet currents de ned, 14, 188 189 ground state of, 81 82, 188 open strings, 162 overview, 21 22 Bosonization, 200 201 Bosons canonical quantization, 184 185 contribution to normal ordering constant, 213 214 de ned, 5 energy-momentum tensor, 138 139 heterotic string theory, 215 216 Higgs, 8 Nambu-Goldstone, 230 particle classes, 127 periodic, 213 space-time, 143, 199 200 spin-1 gauge, 8 spin-2, 8 9 states of in Type II theories, 204 Boundary conditions closed string, 33, 142 Dirichlet, 33, 47, 164, 223 224 Neumann, 33, 44 45, 164, 223 Neveau-Schwarz, 141, 145, 195 196, 198 200 open string, 32 33, 141, 224f overview, 140 Ramond, 141, 146 147, 195 198 Brane ripples, 276 Branes. See also D-branes cosmological models based on, 270 D0, 165, 176 D1, 165 D3, 165 Dp, 221 ekpyrotic universe, 275 278 hidden, 273 overview, 15 16
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Copyright 2009 by The McGraw-Hill Companies, Inc. Click here for terms of use.
Branes (Cont.): p, 15 Randall-Sundrum model, 273 275 space- lling, 221 three-dimensional, 16 visible, 273 BRST quantization invariant states, 118 120 no-ghost theorem, 125 operators, 116 118 overview, 115 in string theory-CFT, 120 121 transformations, 121 125 Bulk, 16, 222, 273
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heterotic string theory, 216 219 higher dimensions, 16, 17f modi ed mass spectrum, 155 158 and M-theory, 15 overview, 153 Complex coordinates, 94 97 Conformal anomaly, 121 Conformal dimensions, 111 Conformal eld theory (CFT) AdS/CFT correspondence, 257, 260 261 BRST in, 120 121 central extension, 104 closed string, 105 107 complex coordinates, 94 97 generators of conformal transformations, 98 100 operator product expansion, 110 113 overview, 89 92 role of in string theory, 92 93 two-dimensional conformal group, 100 104 Wick expansion, 107 110 Wick rotations, 93 Conformal elds, 110 Conformal group, two-dimensional, 100 Conformal transformations, 89, 98 100 Conformal weights, 111 Conformally at metrics, 90 Conjugate momentum, 33 34 Conserved worldsheet currents, 133 136 Coordinates boundary conditions, 224 complex, 94 97 conventions for, 22 DD, 224 226 fermionic, 168 169, 176, 184 185 light-cone, 39 43 NN, 224 space-time, 175 176 string, 30 Cosmology brane worlds, 275 278 Einstein s equations, 266 ekpyrotic universe, 275 278 in ation, 266 268 Kasner metric, 268 273 overview, 265 Randall-Sundrum model, 273 275 Covariant quantization advantages of, 115 closed string spectrum, 82 85 commutation relations, 74 75 open string spectrum, 75 82 overview, 70 73 Creation operator, 76 Critical bosonic string theory, 82 Critical dimension bosonic string theory, 82 RNS superstrings, 149 150 Critical mass density, 267 Currents, worldsheet. See Worldsheet currents Curvature constant K, 266 Curved space-time, 3
Calabi-Yau manifold, 17 Canonical quantization, 144, 184 185 Carter, Brandon, 246 Cauchy-Riemann equations, 100 Central charge, 80 Central extension, 104 CFT (conformal eld theory) AdS/CFT correspondence, 257, 260 261 BRST in, 120 121 central extension, 104 closed string, 105 107 complex coordinates, 94 97 generators of conformal transformations, 98 100 operator product expansion, 110 113 overview, 89 92 role of in string theory, 92 93 two-dimensional conformal group, 100 104 Wick expansion, 107 110 Wick rotations, 93 Chan-Paton factors, 191, 231 Charged black holes, 243 245 (Euler characteristic), 36 39 Chiral conformal eld theories, 93 Christoffel symbols, 241 Closed strings bosonic string theory, 188 189 boundary conditions, 33, 142 classical string theory, 46 47 commutation relations for, 74 75 conformal eld theory, 105 107 mode expansions, 142 143 spectrum, 82 85 in string theory, 13f T-duality and, 159 161 and worldsheets, 29f Commutation relations for closed strings, 74 75 deriving for modes, 73 for open strings, 75 R sector, 146 Compacti cation. See also T-duality of 25th dimension, 153 155 D-branes, 164 165
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