Skip to main content
Log in

A toy black hole S-matrix in the D1-D5 CFT

  • Published:
Journal of High Energy Physics Aims and scope Submit manuscript

Abstract

To model the process of absorption and emission of quanta by an extremal D1-D5 black hole in the dual CFT, we consider transitions between different Ramond vacua via absorption and emission of chiral primaries. We compute the probabilities to reach different CFT states starting with a special Ramond vacuum, using techniques of the orbifold CFT. It is found that the processes involving the change of angular momentum by k units are suppressed as ~ 1/N k.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S.W. Hawking, Particle Creation by Black Holes, Commun. Math. Phys. 43 (1975) 199 [Erratum ibid. 46 (1976) 206-206] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  2. 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 

  3. 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 

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

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

    Article  MathSciNet  ADS  Google Scholar 

  6. 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].

    MathSciNet  ADS  MATH  Google Scholar 

  7. 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].

    Article  MathSciNet  ADS  Google Scholar 

  8. E. Witten, Anti-de Sitter space and holography, Adv. Theor. Math. Phys. 2 (1998) 253 [hep-th/9802150] [INSPIRE].

    MathSciNet  ADS  MATH  Google Scholar 

  9. V. Balasubramanian, J. de Boer, E. Keski-Vakkuri and S.F. Ross, Supersymmetric conical defects: Towards a string theoretic description of black hole formation, Phys. Rev. D 64 (2001) 064011 [hep-th/0011217] [INSPIRE].

    ADS  Google Scholar 

  10. J.M. Maldacena and L. Maoz, Desingularization by rotation, JHEP 12 (2002) 055 [hep-th/0012025] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  11. O. Lunin and S.D. Mathur, Metric of the multiply wound rotating string, Nucl. Phys. B 610 (2001) 49 [hep-th/0105136] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  12. 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].

    Article  MathSciNet  ADS  Google Scholar 

  13. 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].

    Article  MathSciNet  ADS  Google Scholar 

  14. S.R. Das and S.D. Mathur, Interactions involving D-branes, Nucl. Phys. B 482 (1996) 153 [hep-th/9607149] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  15. 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].

    MathSciNet  ADS  Google Scholar 

  16. C.G. Callan Jr., S. Gubser, I.R. Klebanov and A.A. Tseytlin, Absorption of fixed scalars and the D-brane approach to black holes, Nucl. Phys. B 489 (1997) 65 [hep-th/9610172] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  17. S.S. Gubser, I.R. Klebanov and A.A. Tseytlin, String theory and classical absorption by three-branes, Nucl. Phys. B 499 (1997) 217 [hep-th/9703040] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  18. M.R. Gaberdiel and I. Kirsch, Worldsheet correlators in AdS 3 /CF T 2, JHEP 04 (2007) 050 [hep-th/0703001] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  19. A. Dabholkar and A. Pakman, Exact chiral ring of AdS 3 /CF T 2, Adv. Theor. Math. Phys. 13 (2009) 409 [hep-th/0703022] [INSPIRE].

    Article  MathSciNet  MATH  Google Scholar 

  20. 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 

  21. 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 

  22. 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 

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

    Article  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  25. 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 

  26. R. Dijkgraaf, C. Vafa, E.P. Verlinde and H.L. Verlinde, The Operator Algebra of Orbifold Models, Commun. Math. Phys. 123 (1989) 485 [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  27. D. Friedan, Introduction To Polyakovs String Theory, in Recent Advances in Field Theory and Statistical Mechanics, J.B. Zuber and R. Stora eds., North-Holland (1984).

  28. 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 

  29. 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 

  30. O. Lunin and S.D. Mathur, The Slowly rotating near extremal D1-D5 system as ahot tube’, Nucl. Phys. B 615 (2001) 285 [hep-th/0107113] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  31. 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].

    Article  MathSciNet  ADS  Google Scholar 

  32. J. Gomis, L. Motl and A. Strominger, PP wave/CFT(2) duality, JHEP 11 (2002) 016 [hep-th/0206166] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  33. E. Gava and K.S. Narain, Proving the PP wave/CFT(2) duality, JHEP 12 (2002) 023 [hep-th/0208081] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  34. 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 

  35. P. Di Francesco, P. Mathieu and D. Senechal, Conformal field theory, Springer, New York, U.S.A. (1997).

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Oleg Lunin.

Additional information

ArXiv ePrint: 1211.5830

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lunin, O., Mathur, S.D. A toy black hole S-matrix in the D1-D5 CFT. J. High Energ. Phys. 2013, 83 (2013). https://doi.org/10.1007/JHEP02(2013)083

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP02(2013)083

Keywords

Navigation