Skip to main content
SpringerLink
Log in

Holographic duals of near-extremal Reissner-Nordstrøm black holes

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

Abstract

We consider the AdS3/CFT2 description of Reissner-Nordstrøm black holes by studying their uplifted counterparts in five dimensions. Assuming a natural size of the extra dimension, the near horizon geometries for the extremal limit are exactly AdS3×S2. We compute the scattering amplitude of a scalar field, with a mode near threshold of frequency and extra dimensional momentum, by a near extremal uplifted black hole. The absorption cross section agrees with the two point function of the CFT dual to the scalar field.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. G. ’t Hooft, Dimensional reduction in quantum gravity, gr-qc/9310026 [SPIRES].

  2. L. Susskind, The World as a hologram, J. Math. Phys. 36 (1995) 6377 [hep-th/9409089] [SPIRES].

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. 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] [SPIRES].

    MATH  MathSciNet  ADS  Google Scholar 

  4. S.S. Gubser, I.R. Klebanov and A.M. Polyakov, Gauge theory correlators from non-critical string theory, Phys. Lett. B 428 (1998) 105 [hep-th/9802109] [SPIRES].

    MathSciNet  ADS  Google Scholar 

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

    MATH  MathSciNet  Google Scholar 

  6. 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 [SPIRES].

    Article  MATH  MathSciNet  ADS  Google Scholar 

  7. M. Guica, T. Hartman, W. Song and A. Strominger, The Kerr/CFT Correspondence, Phys. Rev. D 80 (2009) 124008 [arXiv:0809.4266] [SPIRES].

    ADS  Google Scholar 

  8. K. Hotta, Y. Hyakutake, T. Kubota, T. Nishinaka and H. Tanida, The CFT-interpolating Black Hole in Three Dimensions, JHEP 01 (2009) 010 [arXiv:0811.0910] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  9. H. Lü, J. Mei and C.N. Pope, Kerr/CFT Correspondence in Diverse Dimensions, JHEP 04 (2009) 054 [arXiv:0811.2225] [SPIRES].

    Article  Google Scholar 

  10. T. Azeyanagi, N. Ogawa and S. Terashima, Holographic Duals of Kaluza-Klein Black Holes, JHEP 04 (2009) 061 [arXiv:0811.4177] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  11. D.D.K. Chow, M. Cvetič, H. Lü and C.N. Pope, Extremal Black Hole/CFT Correspondence in (Gauged) Supergravities, Phys. Rev. D 79 (2009) 084018 [arXiv:0812.2918] [SPIRES].

    ADS  Google Scholar 

  12. T. Azeyanagi, N. Ogawa and S. Terashima, The Kerr/CFT Correspondence and String Theory, Phys. Rev. D 79 (2009) 106009 [arXiv:0812.4883] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  13. Y. Nakayama, Emerging AdS from Extremally Rotating NS5-branes, Phys. Lett. B 673 (2009) 272 [arXiv:0812.2234] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  14. H. Isono, T.-S. Tai and W.-Y. Wen, Kerr/CFT correspondence and five-dimensional BMPV black holes, Int. J. Mod. Phys. A 24 (2009) 5659 [arXiv:0812.4440] [SPIRES].

    ADS  Google Scholar 

  15. J.-J. Peng and S.-Q. Wu, Extremal Kerr black hole/CFT correspondence in the five dimensional Gódel universe, Phys. Lett. B 673 (2009) 216 [arXiv:0901.0311] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  16. C.-M. Chen and J.E. Wang, Holographic Duals of Black Holes in Five-dimensional Minimal Supergravity, Class. Quant. Grav. 27 (2010) 075004 [arXiv:0901.0538] [SPIRES].

    Article  ADS  Google Scholar 

  17. F. Loran and H. Soltanpanahi, 5D Extremal Rotating Black Holes and CFT duals, Class. Quant. Grav. 26 (2009) 155019 [arXiv:0901.1595] [SPIRES].

    Article  ADS  Google Scholar 

  18. A.M. Ghezelbash, Kerr/CFT Correspondence in the Low Energy Limit of Heterotic String Theory, JHEP 08 (2009) 045 [arXiv:0901.1670] [SPIRES].

    Article  ADS  Google Scholar 

  19. H. Lü, J.-w. Mei, C.N. Pope and J.F. Vazquez-Poritz, Extremal Static AdS Black Hole/CFT Correspondence in Gauged Supergravities, Phys. Lett. B 673 (2009) 77 [arXiv:0901.1677] [SPIRES].

    ADS  Google Scholar 

  20. A.J. Amsel, G.T. Horowitz, D. Marolf and M.M. Roberts, No Dynamics in the Extremal Kerr Throat, JHEP 09 (2009) 044 [arXiv:0906.2376] [SPIRES].

    Article  ADS  Google Scholar 

  21. G. Compere, K. Murata and T. Nishioka, Central Charges in Extreme Black Hole/CFT Correspondence, JHEP 05 (2009) 077 [arXiv:0902.1001] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  22. C. Krishnan and S. Kuperstein, A Comment on Kerr-CFT and Wald Entropy, Phys. Lett. B 677 (2009) 326 [arXiv:0903.2169] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  23. K. Hotta, Holographic RG flow dual to attractor flow in extremal black holes, Phys. Rev. D 79 (2009) 104018 [arXiv:0902.3529] [SPIRES].

    ADS  Google Scholar 

  24. D. Astefanesei and Y.K. Srivastava, CFT Duals for Attractor Horizons, Nucl. Phys. B 822 (2009) 283 [arXiv:0902.4033] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  25. W.-Y. Wen, Holographic descriptions of (near-)extremal black holes in five dimensional minimal supergravity, arXiv:0903.4030 [SPIRES].

  26. T. Azeyanagi, G. Compere, N. Ogawa, Y. Tachikawa and S. Terashima, Higher-Derivative Corrections to the Asymptotic Virasoro Symmetry of 4D Extremal Black Holes, Prog. Theor. Phys. 122 (2009) 355 [arXiv:0903.4176] [SPIRES].

    Article  MATH  ADS  Google Scholar 

  27. X.-N. Wu and Y. Tian, Extremal Isolated Horizon/CFT Correspondence, Phys. Rev. D 80 (2009) 024014 [arXiv:0904.1554] [SPIRES].

    ADS  Google Scholar 

  28. Y. Matsuo, T. Tsukioka and C.-M. Yoo, Another Realization of Kerr/CFT Correspondence, Nucl. Phys. B 825 (2010) 231 [arXiv:0907.0303] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  29. J.-J. Peng and S.-Q. Wu, Extremal Kerr/CFT correspondence of five-dimensional rotating (charged) black holes with squashed horizons, Nucl. Phys. B 828 (2010) 273 [arXiv:0911.5070] [SPIRES].

    Article  ADS  Google Scholar 

  30. I. Bredberg, T. Hartman, W. Song and A. Strominger, Black Hole Superradiance From Kerr/CFT, arXiv:0907.3477 [SPIRES].

  31. T. Hartman, W. Song and A. Strominger, Holographic Derivation of Kerr-Newman Scattering Amplitudes for General Charge and Spin, arXiv:0908.3909 [SPIRES].

  32. M. Cvetič and F. Larsen, Greybody Factors and Charges in Kerr/CFT, JHEP 09 (2009) 088 [arXiv:0908.1136] [SPIRES].

    Article  ADS  Google Scholar 

  33. T. Hartman and A. Strominger, Central Charge for AdS 2 Quantum Gravity, JHEP 04 (2009) 026 [arXiv:0803.3621] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  34. M. Alishahiha and F. Ardalan, Central Charge for 2D Gravity on AdS 2 and AdS 2/CFT 1 Correspondence, JHEP 08 (2008) 079 [arXiv:0805.1861] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  35. A. Castro, D. Grumiller, F. Larsen and R. McNees, Holographic Description of AdS 2 Black Holes, JHEP 11 (2008) 052 [arXiv:0809.4264] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  36. A. Castro and F. Larsen, Near Extremal Kerr Entropy from AdS 2 Quantum Gravity, JHEP 12 (2009) 037 [arXiv:0908.1121] [SPIRES].

    Article  ADS  Google Scholar 

  37. O.J.C. Dias, H.S. Reall and J.E. Santos, Kerr-CFT and gravitational perturbations, JHEP 08 (2009) 101 [arXiv:0906.2380] [SPIRES].

    Article  ADS  Google Scholar 

  38. V. Balasubramanian, J. de Boer, M.M. Sheikh-Jabbari and J. Simon, What is a chiral 2D CFT? And what does it have to do with extremal black holes?, JHEP 02 (2010) 017 [arXiv:0906.3272] [SPIRES].

    Article  Google Scholar 

  39. A.J. Amsel, D. Marolf and M.M. Roberts, On the Stress Tensor of Kerr/CFT, JHEP 10 (2009) 021 [arXiv:0907.5023] [SPIRES].

    Article  ADS  Google Scholar 

  40. B. Bertotti, Uniform electromagnetic field in the theory of general relativity, Phys. Rev. 116 (1959) 1331 [SPIRES].

    Article  MATH  MathSciNet  ADS  Google Scholar 

  41. I. Robinson, A Solution of the Maxwell-Einstein Equations, Bull. Acad. Pol. Sci. Ser. Sci. Math. Astron. Phys. 7 (1959) 351 [SPIRES].

    MATH  Google Scholar 

  42. J.M. Maldacena, J. Michelson and A. Strominger, Anti-de Sitter fragmentation, JHEP 02 (1999) 011 [hep-th/9812073] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  43. C.-M. Chen, J.-R. Sun and S.-J. Zou, The RN/CFT Correspondence Revisited, JHEP 01 (2010) 057 [arXiv:0910.2076] [SPIRES].

    Article  Google Scholar 

  44. T. Hartman, K. Murata, T. Nishioka and A. Strominger, CFT Duals for Extreme Black Holes, JHEP 04 (2009) 019 [arXiv:0811.4393] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  45. M.R. Garousi and A. Ghodsi, The RN/CFT Correspondence, Phys. Lett. B 687 (2010) 79 [arXiv:0902.4387] [SPIRES].

    ADS  Google Scholar 

  46. R.K. Gupta and A. Sen, AdS 3/CFT 2 to AdS 2/CFT 1, JHEP 04 (2009) 034 [arXiv:0806.0053] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  47. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical tables, Dover, New York U.S.A. (1964).

    MATH  Google Scholar 

  48. T. Nakamura and H. Sato, Absorption Of Massive Scalar Field By A Charged Black Hole, Phys. Lett. B 61 (1976) 371 [SPIRES].

    ADS  Google Scholar 

  49. K.S. Stelle, BPS branes in supergravity, hep-th/9803116 [SPIRES].

Download references

Author information

Authors and Affiliations

  1. Center for Mathematics and Theoretical Physics, National Central University, Chungli, 320, Taiwan

    Chiang-Mei Chen

  2. Department of Physics, National Central University, Chungli, 320, Taiwan

    Chiang-Mei Chen, Ying-Ming Huang & Shou-Jyun Zou

Authors
  1. Chiang-Mei Chen
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ying-Ming Huang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Shou-Jyun Zou
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Chiang-Mei Chen.

Additional information

ArXiv ePrint: 1001.2833

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chen, CM., Huang, YM. & Zou, SJ. Holographic duals of near-extremal Reissner-Nordstrøm black holes. J. High Energ. Phys. 2010, 123 (2010). https://doi.org/10.1007/JHEP03(2010)123

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP03(2010)123

Keywords

Search

Navigation