×
Carson, Zaq; Hampton, Shaun; Mathur, Samir D.

Second order effect of twist deformations in the D1D5 CFT. (English) Zbl 1388.83644

J. High Energy Phys. 2016, No. 4, Paper No. 115, 51 p. (2016).
Summary: Thermalization in the D1D5 CFT should occur via interactions caused by the twist operator, which deforms the theory off its free orbifold point. Earlier studies investigating this deformation at first order did not show any definite evidence of thermalization. In this paper we study the deformation to second order, where we do expect to see the effects that should give thermalization. We compute the effect of two twist operators on an initial vacuum state, which generates a squeezed state analogous to the case for a single twist. We obtain expressions for the Bogoliubov coefficients in this 2-twist case.

Cited in 19 Documents

MSC:

83E30 String and superstring theories in gravitational theory
83C57 Black holes

Keywords:

AdS-CFT correspondence; black holes; black holes in string theory; conformal field models in string theory
Cite Review PDF
Full Text: DOI arXiv

References:

[1] J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Int. J. Theor. Phys.38 (1999) 1113 [hep-th/9711200] [INSPIRE]. · Zbl 0969.81047 · doi:10.1023/A:1026654312961
[2] E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys.2 (1998) 253 [hep-th/9802150] [INSPIRE]. · Zbl 0914.53048 · doi:10.4310/ATMP.1998.v2.n2.a2
[3] S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from noncritical string theory, Phys. Lett.B 428 (1998) 105 [hep-th/9802109] [INSPIRE]. · Zbl 1355.81126 · doi:10.1016/S0370-2693(98)00377-3
[4] A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy, Phys. Lett.B 379 (1996) 99 [hep-th/9601029] [INSPIRE]. · Zbl 1376.83026 · doi:10.1016/0370-2693(96)00345-0
[5] O. Lunin and S.D. Mathur, Correlation functions for MN/SNorbifolds, Commun. Math. Phys.219 (2001) 399 [hep-th/0006196] [INSPIRE]. · Zbl 0980.81045 · doi:10.1007/s002200100431
[6] O. Lunin and S.D. Mathur, Three point functions for MN/SNorbifolds with N = 4 supersymmetry, Commun. Math. Phys.227 (2002) 385 [hep-th/0103169] [INSPIRE]. · Zbl 1004.81029 · doi:10.1007/s002200200638
[7] G.E. Arutyunov and S.A. Frolov, Virasoro amplitude from the SNR24orbifold σ-model, Theor. Math. Phys.114 (1998) 43 [hep-th/9708129] [INSPIRE]. · Zbl 0976.81037 · doi:10.1007/BF02557107
[8] G.E. Arutyunov and S.A. Frolov, Four graviton scattering amplitude from SNR8supersymmetric orbifold σ-model, Nucl. Phys.B 524 (1998) 159 [hep-th/9712061] [INSPIRE]. · Zbl 1031.81581 · doi:10.1016/S0550-3213(98)00326-5
[9] J. de Boer, Six-dimensional supergravity on S3 × AdS3and 2D conformal field theory, Nucl. Phys.B 548 (1999) 139 [hep-th/9806104] [INSPIRE]. · Zbl 0944.83032 · doi:10.1016/S0550-3213(99)00160-1
[10] N. Seiberg and E. Witten, The D1/D5 system and singular CFT, JHEP04 (1999) 017 [hep-th/9903224] [INSPIRE]. · Zbl 0953.81076 · doi:10.1088/1126-6708/1999/04/017
[11] R. Dijkgraaf, Instanton strings and hyperKähler geometry, Nucl. Phys.B 543 (1999) 545 [hep-th/9810210] [INSPIRE]. · Zbl 1097.58503 · doi:10.1016/S0550-3213(98)00869-4
[12] J.R. David, G. Mandal and S.R. Wadia, D1/D5 moduli in SCFT and gauge theory and Hawking radiation, Nucl. Phys.B 564 (2000) 103 [hep-th/9907075] [INSPIRE]. · Zbl 1028.81523 · doi:10.1016/S0550-3213(99)00620-3
[13] J. Gomis, L. Motl and A. Strominger, PP-wave/CFT2duality, JHEP11 (2002) 016 [hep-th/0206166] [INSPIRE]. · doi:10.1088/1126-6708/2002/11/016
[14] E. Gava and K.S. Narain, Proving the PP-wave/CFT2duality, JHEP12 (2002) 023 [hep-th/0208081] [INSPIRE]. · doi:10.1088/1126-6708/2002/12/023
[15] F. Larsen and E.J. Martinec, U(1) charges and moduli in the D1-D5 system, JHEP06 (1999) 019 [hep-th/9905064] [INSPIRE]. · Zbl 0961.81073 · doi:10.1088/1126-6708/1999/06/019
[16] A. Jevicki, M. Mihailescu and S. Ramgoolam, Gravity from CFT on SN (X): Symmetries and interactions, Nucl. Phys.B 577 (2000) 47 [hep-th/9907144] [INSPIRE]. · Zbl 1056.81562 · doi:10.1016/S0550-3213(00)00147-4
[17] A. Pakman, L. Rastelli and S.S. Razamat, Diagrams for Symmetric Product Orbifolds, JHEP10 (2009) 034 [arXiv:0905.3448] [INSPIRE]. · doi:10.1088/1126-6708/2009/10/034
[18] A. Pakman, L. Rastelli and S.S. Razamat, Extremal Correlators and Hurwitz Numbers in Symmetric Product Orbifolds, Phys. Rev.D 80 (2009) 086009 [arXiv:0905.3451] [INSPIRE].
[19] A. Pakman, L. Rastelli and S.S. Razamat, A Spin Chain for the Symmetric Product CFT(2), JHEP05 (2010) 099 [arXiv:0912.0959] [INSPIRE]. · Zbl 1287.81074 · doi:10.1007/JHEP05(2010)099
[20] C.G. Callan and J.M. Maldacena, D-brane approach to black hole quantum mechanics, Nucl. Phys.B 472 (1996) 591 [hep-th/9602043] [INSPIRE]. · Zbl 0925.83041 · doi:10.1016/0550-3213(96)00225-8
[21] A. Dhar, G. Mandal and S.R. Wadia, Absorption versus decay of black holes in string theory and T symmetry, Phys. Lett.B 388 (1996) 51 [hep-th/9605234] [INSPIRE]. · doi:10.1016/0370-2693(96)01127-6
[22] S.R. Das and S.D. Mathur, Comparing decay rates for black holes and D-branes, Nucl. Phys.B 478 (1996) 561 [hep-th/9606185] [INSPIRE]. · Zbl 0925.81200 · doi:10.1016/0550-3213(96)00453-1
[23] S.R. Das and S.D. Mathur, Interactions involving D-branes, Nucl. Phys.B 482 (1996) 153 [hep-th/9607149] [INSPIRE]. · Zbl 0925.81222 · doi:10.1016/S0550-3213(96)00495-6
[24] J.M. Maldacena and A. Strominger, Black hole grey body factors and D-brane spectroscopy, Phys. Rev.D 55 (1997) 861 [hep-th/9609026] [INSPIRE].
[25] S.G. Avery, B.D. Chowdhury and S.D. Mathur, Deforming the D1D5 CFT away from the orbifold point, JHEP06 (2010) 031 [arXiv:1002.3132] [INSPIRE]. · Zbl 1290.81097 · doi:10.1007/JHEP06(2010)031
[26] S.G. Avery, B.D. Chowdhury and S.D. Mathur, Excitations in the deformed D1D5 CFT, JHEP06 (2010) 032 [arXiv:1003.2746] [INSPIRE]. · Zbl 1290.81096 · doi:10.1007/JHEP06(2010)032
[27] B.A. Burrington, S.D. Mathur, A.W. Peet and I.G. Zadeh, Analyzing the squeezed state generated by a twist deformation, Phys. Rev.D 91 (2015) 124072 [arXiv:1410.5790] [INSPIRE].
[28] Z. Carson, S.D. Mathur and D. Turton, Bogoliubov coefficients for the twist operator in the D1D5 CFT, Nucl. Phys.B 889 (2014) 443 [arXiv:1406.6977] [INSPIRE]. · Zbl 1326.81173 · doi:10.1016/j.nuclphysb.2014.10.018
[29] Z. Carson, S. Hampton, S.D. Mathur and D. Turton, Effect of the twist operator in the D1D5 CFT, JHEP08 (2014) 064 [arXiv:1405.0259] [INSPIRE]. · Zbl 1326.81173 · doi:10.1007/JHEP08(2014)064
[30] Z. Carson, S. Hampton, S.D. Mathur and D. Turton, Effect of the deformation operator in the D1D5 CFT, JHEP01 (2015) 071 [arXiv:1410.4543] [INSPIRE]. · doi:10.1007/JHEP01(2015)071
[31] B.A. Burrington, A.W. Peet and I.G. Zadeh, Twist-nontwist correlators in MN/SNorbifold CFTs, Phys. Rev.D 87 (2013) 106008 [arXiv:1211.6689] [INSPIRE].
[32] B.A. Burrington, A.W. Peet and I.G. Zadeh, Operator mixing for string states in the D1-D5 CFT near the orbifold point, Phys. Rev.D 87 (2013) 106001 [arXiv:1211.6699] [INSPIRE].
[33] A. Schwimmer and N. Seiberg, Comments on the N = 2, N = 3, N = 4 Superconformal Algebras in Two-Dimensions, Phys. Lett.B 184 (1987) 191 [INSPIRE]. · doi:10.1016/0370-2693(87)90566-1
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.