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D1-D5-P microstates at the cap

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Abstract

The geometries describing D1-D5-P bound states in string theory have three regions: flat asymptotics, an anti-de Sitter throat, and a ‘cap’ region at the bottom of the throat. We identify the CFT description of a known class of supersymmetric D1-D5-P microstate geometries which describe degrees of freedom in the cap region. The class includes both regular solutions and solutions with conical defects, and generalizes configurations with known CFT descriptions: a parameter related to spectral flow in the CFT is generalized from integer to fractional values. We provide strong evidence for this identification by comparing the massless scalar excitation spectrum between gravity and CFT and finding exact agreement.

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References

  1. S.D. Mathur, The fuzzball proposal for black holes: an elementary review, Fortsch. Phys. 53 (2005) 793 [hep-th/0502050] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. I. Bena and N.P. Warner, Black holes, black rings and their microstates, Lect. Notes Phys. 755 (2008) 1 [hep-th/0701216] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  3. K. Skenderis and M. Taylor, The fuzzball proposal for black holes, Phys. Rept. 467 (2008) 117 [arXiv:0804.0552] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  4. S.D. Mathur, Black holes and beyond, Annals Phys. 327 (2012) 2760 [arXiv:1205.0776] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. S. Hawking, Particle creation by black holes, Commun. Math. Phys. 43 (1975) 199 [Erratum ibid. 46 (1976) 206-206] [INSPIRE].

  6. S. Hawking, Breakdown of predictability in gravitational collapse, Phys. Rev. D 14 (1976) 2460 [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  7. S.D. Mathur, The information paradox: a pedagogical introduction, Class. Quant. Grav. 26 (2009) 224001 [arXiv:0909.1038] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  8. O. Lunin and S.D. Mathur, AdS/CFT duality and the black hole information paradox, Nucl. Phys. B 623 (2002) 342 [hep-th/0109154] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  9. O. Lunin, J.M. Maldacena and L. Maoz, Gravity solutions for the D1 − D5 system with angular momentum, hep-th/0212210 [INSPIRE].

  10. O. Lunin, Adding momentum to D1-D5 system, JHEP 04 (2004) 054 [hep-th/0404006] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  11. S. Giusto, S.D. Mathur and A. Saxena, Dual geometries for a set of 3-charge microstates, Nucl. Phys. B 701 (2004) 357 [hep-th/0405017] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  12. S. Giusto, S.D. Mathur and A. Saxena, 3-charge geometries and their CFT duals, Nucl. Phys. B 710 (2005) 425 [hep-th/0406103] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  13. I. Bena and N.P. Warner, One ring to rule them all . . . and in the darkness bind them?, Adv. Theor. Math. Phys. 9 (2005) 667 [hep-th/0408106] [INSPIRE].

    Article  MathSciNet  MATH  Google Scholar 

  14. S. Giusto and S.D. Mathur, Geometry of D1-D5-P bound states, Nucl. Phys. B 729 (2005) 203 [hep-th/0409067] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  15. V. Jejjala, O. Madden, S.F. Ross and G. Titchener, Non-supersymmetric smooth geometries and D1-D5-P bound states, Phys. Rev. D 71 (2005) 124030 [hep-th/0504181] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  16. I. Bena and N.P. Warner, Bubbling supertubes and foaming black holes, Phys. Rev. D 74 (2006) 066001 [hep-th/0505166] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  17. P. Berglund, E.G. Gimon and T.S. Levi, Supergravity microstates for BPS black holes and black rings, JHEP 06 (2006) 007 [hep-th/0505167] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  18. A. Saxena, G. Potvin, S. Giusto and A.W. Peet, Smooth geometries with four charges in four dimensions, JHEP 04 (2006) 010 [hep-th/0509214] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  19. V. Balasubramanian, E.G. Gimon and T.S. Levi, Four dimensional black hole microstates: from D-branes to spacetime foam, JHEP 01 (2008) 056 [hep-th/0606118] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  20. I. Bena, C.-W. Wang and N.P. Warner, Mergers and typical black hole microstates, JHEP 11 (2006) 042 [hep-th/0608217] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  21. I. Bena, C.-W. Wang and N.P. Warner, Plumbing the abyss: black ring microstates, JHEP 07 (2008) 019 [arXiv:0706.3786] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  22. I. Kanitscheider, K. Skenderis and M. Taylor, Fuzzballs with internal excitations, JHEP 06 (2007) 056 [arXiv:0704.0690] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  23. J. Ford, S. Giusto and A. Saxena, A class of BPS time-dependent 3-charge microstates from spectral flow, Nucl. Phys. B 790 (2008) 258 [hep-th/0612227] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  24. I. Bena, N. Bobev, S. Giusto, C. Ruef and N.P. Warner, An infinite-dimensional family of black-hole microstate geometries, JHEP 03 (2011) 022 [Erratum ibid. 1104 (2011) 059] [arXiv:1006.3497] [INSPIRE].

  25. I. Bena, J. de Boer, M. Shigemori and N.P. Warner, Double, double supertube bubble, JHEP 10 (2011) 116 [arXiv:1107.2650] [INSPIRE].

    Article  ADS  Google Scholar 

  26. S. Giusto, R. Russo and D. Turton, New D1-D5-P geometries from string amplitudes, JHEP 11 (2011) 062 [arXiv:1108.6331] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  27. S. Giusto and R. Russo, Adding new hair to the 3-charge black ring, Class. Quant. Grav. 29 (2012) 085006 [arXiv:1201.2585] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  28. A. Dabholkar, J. Gomes, S. Murthy and A. Sen, Supersymmetric index from black hole entropy, JHEP 04 (2011) 034 [arXiv:1009.3226] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  29. A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy, Phys. Lett. B 379 (1996) 99 [hep-th/9601029] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  30. J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200] [INSPIRE].

  31. G. Arutyunov and S. Frolov, Virasoro amplitude from the S**N R 2 4 orbifold σ-model, Theor. Math. Phys. 114 (1998) 43 [hep-th/9708129] [INSPIRE].

    Article  MathSciNet  MATH  Google Scholar 

  32. G. Arutyunov and S. Frolov, Four graviton scattering amplitude from S N R 8 supersymmetric orbifold σ-model, Nucl. Phys. B 524 (1998) 159 [hep-th/9712061] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  33. J. de Boer, Six-dimensional supergravity on S 3 × AdS 3 and 2D conformal field theory, Nucl. Phys. B 548 (1999) 139 [hep-th/9806104] [INSPIRE].

    Article  ADS  Google Scholar 

  34. R. Dijkgraaf, Instanton strings and hyper-Kähler geometry, Nucl. Phys. B 543 (1999) 545 [hep-th/9810210] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  35. N. Seiberg and E. Witten, The D1/D5 system and singular CFT, JHEP 04 (1999) 017 [hep-th/9903224] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  36. F. Larsen and E.J. Martinec, U(1) charges and moduli in the D1-D5 system, JHEP 06 (1999) 019 [hep-th/9905064] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  37. J.R. David, G. Mandal, S. Vaidya and S.R. Wadia, Point mass geometries, spectral flow and AdS 3 -CFT 2 correspondence, Nucl. Phys. B 564 (2000) 128 [hep-th/9906112] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  38. A. Jevicki, M. Mihailescu and S. Ramgoolam, Gravity from CFT on S N (X): symmetries and interactions, Nucl. Phys. B 577 (2000) 47 [hep-th/9907144] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  39. S.D. Mathur and D. Turton, Microstates at the boundary of AdS, JHEP 05 (2012) 014 [arXiv:1112.6413] [INSPIRE].

    Article  ADS  Google Scholar 

  40. S.D. Mathur and D. Turton, Momentum-carrying waves on D1-D5 microstate geometries, Nucl. Phys. B 862 (2012) 764 [arXiv:1202.6421] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  41. O. Lunin, S.D. Mathur and D. Turton, Adding momentum to supersymmetric geometries, Nucl. Phys. B 868 (2013) 383 [arXiv:1208.1770] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  42. O. Lunin and S.D. Mathur, Three point functions for M (N)/S(N) orbifolds with N = 4 supersymmetry, Commun. Math. Phys. 227 (2002) 385 [hep-th/0103169] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  43. 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].

    Article  MathSciNet  ADS  Google Scholar 

  44. J.D. Brown and M. Henneaux, Central charges in the canonical realization of asymptotic symmetries: an example from three-dimensional gravity, Commun. Math. Phys. 104 (1986) 207 [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  45. O. Lunin and S.D. Mathur, Correlation functions for M N /S(N) orbifolds, Commun. Math. Phys. 219 (2001) 399 [hep-th/0006196] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  46. S.G. Avery and B.D. Chowdhury, Emission from the D1D5 CFT: higher twists, JHEP 01 (2010) 087 [arXiv:0907.1663] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  47. M. Cvetič and D. Youm, General rotating five-dimensional black holes of toroidally compactified heterotic string, Nucl. Phys. B 476 (1996) 118 [hep-th/9603100] [INSPIRE].

    Article  ADS  Google Scholar 

  48. M. Cvetič and F. Larsen, General rotating black holes in string theory: grey body factors and event horizons, Phys. Rev. D 56 (1997) 4994 [hep-th/9705192] [INSPIRE].

    ADS  Google Scholar 

  49. J.B. Gutowski, D. Martelli and H.S. Reall, All supersymmetric solutions of minimal supergravity in six-dimensions, Class. Quant. Grav. 20 (2003) 5049 [hep-th/0306235] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  50. B.D. Chowdhury and S.D. Mathur, Pair creation in non-extremal fuzzball geometries, Class. Quant. Grav. 25 (2008) 225021 [arXiv:0806.2309] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  51. O. Lunin and S.D. Mathur, Rotating deformations of AdS 3 × S 3 , the orbifold CFT and strings in the pp wave limit, Nucl. Phys. B 642 (2002) 91 [hep-th/0206107] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  52. S.G. Avery, B.D. Chowdhury and S.D. Mathur, Emission from the D1D5 CFT, JHEP 10 (2009) 065 [arXiv:0906.2015] [INSPIRE].

    Article  ADS  Google Scholar 

  53. S.G. Avery, B.D. Chowdhury and S.D. Mathur, Deforming the D1D5 CFT away from the orbifold point, JHEP 06 (2010) 031 [arXiv:1002.3132] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

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Authors and Affiliations

  1. Dipartimento di Fisica “Galileo Galilei”, Università di Padova, Via Marzolo 8, 35131, Padova, Italy

    Stefano Giusto

  2. INFN — Sezione di Padova, Via Marzolo 8, 35131, Padova, Italy

    Stefano Giusto

  3. Department of Physics, University at Albany (SUNY), Albany, NY, 12222, U.S.A.

    Oleg Lunin

  4. Department of Physics, The Ohio State University, Columbus, OH, 43210, U.S.A.

    Samir D. Mathur & David Turton

Authors
  1. Stefano Giusto
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  2. Oleg Lunin
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  3. Samir D. Mathur
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  4. David Turton
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Correspondence to David Turton.

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ArXiv ePrint: 1211.0306

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Giusto, S., Lunin, O., Mathur, S.D. et al. D1-D5-P microstates at the cap. J. High Energ. Phys. 2013, 50 (2013). https://doi.org/10.1007/JHEP02(2013)050

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