Absorption and Hawking radiation of minimal and fixed scalars, and AdS/CFT correspondence.(English)Zbl 0956.83063
Summary: We present a complete derivation of absorption cross section and Hawking radiation of minimal and fixed scalars from the Strominger-Vafa model of five-dimensional black hole, starting right from the moduli space of the D1-D5 brane system. We determine the precise coupling of this moduli space to bulk modes by using the AdS/CFT correspondence. Our methods resolve a long-standing problem regarding emission of fixed scalars. We calculate three-point correlators of operators coupling to the minimal scalars from supergravity and from SCFT, and show that both vanish. We make some observations about how the AdS/SYM correspondence implies a close relation between large-\(N\) equations of motion of d-dimensional gauge theory and supergravity equations on AdS\(_{d+1}\)-type backgrounds. We compare with the explicit non-local transform relating one and two dimensions in the context of \(c=1\) matrix model.
MSC:
| 83E30 | String and superstring theories in gravitational theory |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 83C57 | Black holes |
Cite
References:
| [1] | L. Susskind, Some speculations about black hole entropy in string theory, hep-th/9309145.; L. Susskind, Some speculations about black hole entropy in string theory, hep-th/9309145. ·Zbl 0963.83024 |
| [2] | Sen, A., Extremal black holes and elementary string states, Mod. Phys. Lett. A, 10, 2081 (1995), hepth/9504147 |
| [3] | Strominger, A.; Vafa, C., Microscopic origin of the Bekenstein-Hawking entropy, Phys. Lett. B, 379, 99 (1996), hep-th/9601029 ·Zbl 1376.83026 |
| [4] | Callan, C. G.; Maldacena, J., D-brane approach to black hole quantum mechanics, Nucl. Phys. B, 472, 591 (1996), hep-th/9602043 ·Zbl 0925.83041 |
| [5] | Maldacena, J.; Susskind, L., D-branes and fat black holes, Nucl. Phys. B, 475, 679 (1996), hepth/9604042 ·Zbl 0925.83076 |
| [6] | Dhar, A.; Mandal, G.; Wadia, S. R., Absorption vs. decay of black holes in string theory and Tsymmetry, Phys. Lett. B, 388, 51 (996), hep-th/9605234. |
| [7] | Das, S. R.; Mathur, S. D., Interactions involving D-branes, Nucl. Phys. B, 482, 153 (1996), hepth/9607149 ·Zbl 0925.81222 |
| [8] | Maldacena, J.; Strominger, A., Universal low-energy dynamics for rotating black holes, Phys. Rev. D, 56, 4975 (1997), hep-th/9702015 |
| [9] | Callan, C. G.; Gubser, S. S.; Klebanov, I. R.; Tseytlin, A. A., Absorption of fixed scalars and the D-brane approach to black holes, Nucl. Phys. B, 489, 65 (1997), hep-th/9610172 ·Zbl 0925.83052 |
| [10] | Klebanov, I. R.; Krasnitz, M., Testing effective string models of black holes with fixed scalars, Phys. Rev. D, 56, 2173 (1997), hep-th/9703216 |
| [11] | Maldacena, J., D-branes and near extremal black holes at low energies, Phys. Rev. D, 55, 7645 (1997), hep-th/9611125 |
| [12] | I. Maldacena, Black holes in string theory, Ph.D. Thesis, hep-th/9607235.; I. Maldacena, Black holes in string theory, Ph.D. Thesis, hep-th/9607235. ·Zbl 1192.83058 |
| [13] | Johnson, C. V.; Khuri, R. R.; Myers, R. C., Entropy of 4D extremal black holes, Phys. Lett. B, 378, 78 (1996), hep-th/9603061 |
| [14] | Breckenridge, J. C.; Myers, R. C.; Peet, A. W.; Vafa, C., D-branes and spinning black holes, Phys. Lett. B, 391, 93 (1997), hep-th/9602065 ·Zbl 0956.83064 |
| [15] | Gubser, S. S., Can the effective string see higher partial waves?, Phys. Rev. D, 56, 4984 (1997), hepth/9704195 |
| [16] | Gubser, S. S., Absorption of photon and fermions by black holes in four dimensions, Phys. Rev. D, 56, 7854 (1997), hep-th/9706100 |
| [17] | Vafa, C., Instantons on D-branes, Nucl. Phys. B, 463, 435 (1996), hepth/9512078 ·Zbl 1004.81537 |
| [18] | Hassan, S. F.; Wadia, S. R., Gauge theory description of D-brane black holes: emergence of the effective SCFT and Hawking radiation, Nucl. Phys. B, 526, 311 (1998), hep-th/9712213 ·Zbl 0951.83050 |
| [19] | M.R. Douglas, Branes within branes, hep-th/9512077.; M.R. Douglas, Branes within branes, hep-th/9512077. ·Zbl 0946.81058 |
| [20] | Witten, E., On the conformal field theory of the Higgs branch, J. High Energy Phys., 07, 003 (1997), hep-th/9707093 ·Zbl 0949.81056 |
| [21] | J. Maldacena, The large-N limit of superconformal field theories and supergravity, hep-th/9712200.; J. Maldacena, The large-N limit of superconformal field theories and supergravity, hep-th/9712200. |
| [22] | S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, hep-th/9802109.; S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, hep-th/9802109. ·Zbl 1355.81126 |
| [23] | E. Witten, Anti-de Sitter space and holography, hep-th/9802150.; E. Witten, Anti-de Sitter space and holography, hep-th/9802150. |
| [24] | E.J. Martinec, Matrix models of AdS gravity, hep-th/9804111.; E.J. Martinec, Matrix models of AdS gravity, hep-th/9804111. ·Zbl 0844.53064 |
| [25] | J. Maldacena and A. Strominger, \(AdS_3\); J. Maldacena and A. Strominger, \(AdS_3\) ·Zbl 0951.83019 |
| [26] | F. Larsen, The perturbation spectrum of black holes in \(N\); F. Larsen, The perturbation spectrum of black holes in \(N\) ·Zbl 0940.83031 |
| [27] | J. de Boer, Six-dimensional supergravity on \(S^3S_3\); J. de Boer, Six-dimensional supergravity on \(S^3S_3\) |
| [28] | A. Giveon, D. Kutasov and N. Seiberg, Comments on string theory on \(AdS_3\); A. Giveon, D. Kutasov and N. Seiberg, Comments on string theory on \(AdS_3\) ·Zbl 1041.81575 |
| [29] | Dijkgraaf, R.; Moore, G.; Verlinde, E.; Verlinde, H., Elliptic genera of symmetric products and second quantized strings, Commun. Math. Phys., 185, 197 (1997), hep-th/9608096 ·Zbl 0872.32006 |
| [30] | J. Polchinski, S. Chaudhuri and C.V. Johnson, Notes on D-branes, hep-th/9602052; J. Polchinski, TASI lectures on D-branes, hep-th/9611050.; J. Polchinski, S. Chaudhuri and C.V. Johnson, Notes on D-branes, hep-th/9602052; J. Polchinski, TASI lectures on D-branes, hep-th/9611050. |
| [31] | Dijkgraaf, R.; Verlinde, E.; Verlinde, H., Matrix string theory, Nucl. Phys. B, 500, 43 (1997), hepth/9703030 ·Zbl 0934.81044 |
| [32] | D.Z. Freedman, S.D. Mathur, A. Matusis and L. Rastelli, Correlation functions in the \(CFT_d_{d\) ·Zbl 0944.81041 |
| [33] | S. Lee, S. Minwalla, M. Rangamani and N. Seiberg, Three-point functions of chiral operators in \(DNN\); S. Lee, S. Minwalla, M. Rangamani and N. Seiberg, Three-point functions of chiral operators in \(DNN\) ·Zbl 0923.53033 |
| [34] | , H.W. Lee, Y.S. Myung and Jin Young Kim, The role of fixed scalars in scattering off a 5D black hole, hep-th/9708099.; , H.W. Lee, Y.S. Myung and Jin Young Kim, The role of fixed scalars in scattering off a 5D black hole, hep-th/9708099. |
| [35] | E. Teo, Black hole absorption cross sections and the anti-de Sitter-conformal field theory correspondence, hep-th/9805014.; E. Teo, Black hole absorption cross sections and the anti-de Sitter-conformal field theory correspondence, hep-th/9805014. |
| [36] | Klebanov, I. R.; Rajaraman, A.; Tseytlin, A. A., Intermediate scalars and the effective string model of black holes, Nucl. Phys. B, 503, 157 (199), hep-th/9704112 ·Zbl 0935.83037 |
| [37] | Dhar, A.; Mandal, G.; Wadia, S. R., Non-relativistic fermions, coadjoint orbits of \(W\)∞ and string field theory at \(c = l\), Mod. Phys. Lett. A, 7 (1992), hep-th/9207011 |
| [38] | For a review of \(c\); For a review of \(c\) |
| [39] | Dhar, A.; Mandal, G.; Wadia, S. R., String field theory of two-dimensional QCD: a realization of W-infinity algebra, Phys. Lett. B, 329, 15 (1994), hep-th/9403050 |
| [40] | E. Witten, Anti-de Sitter space, thermal phase transition, and confinement in gauge theories, hepth/9803131.; E. Witten, Anti-de Sitter space, thermal phase transition, and confinement in gauge theories, hepth/9803131. ·Zbl 1057.81550 |
| [41] | C. Csáki, H. Ooguri, Y. Oz and J. Terning, Glueball mass spectrum from supergravity, hep-th/9806021.; C. Csáki, H. Ooguri, Y. Oz and J. Terning, Glueball mass spectrum from supergravity, hep-th/9806021. ·Zbl 0956.83066 |
| [42] | R. Koch, A. Jevicki, M. Mihailescu and J.P. Nunes, Evaluation of glueball masses from supergravity, hep-th/9806125.; R. Koch, A. Jevicki, M. Mihailescu and J.P. Nunes, Evaluation of glueball masses from supergravity, hep-th/9806125. |
| [43] | Dhar, A.; Mandal, G.; Wadia, S. R., Discrete state moduli of string theory from c = l matrix model, Nucl. Phys. B, 454, 541 (1995), hep-th/9507041 ·Zbl 0925.81156 |
| [44] | Dhar, A., The emergence of space-time gravitational physics as an effective theory from the \(c = 1\) matrix model, Nucl. Phys. B, 507, 277 (1997), hep-th/9705215 ·Zbl 0925.83094 |
| [45] | O. Aharony, M. Berkooz, D. Kutasov and N. Seiberg, Linear dilatons, NS5-branes and holography, hep-th/9808149.; O. Aharony, M. Berkooz, D. Kutasov and N. Seiberg, Linear dilatons, NS5-branes and holography, hep-th/9808149. ·Zbl 0955.81040 |
| [46] | C.P. Bachas, Lectures on D-branes, hep-th/9806199.; C.P. Bachas, Lectures on D-branes, hep-th/9806199. ·Zbl 0970.81064 |
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