Skip to main content
SpringerLink
Log in

Three dimensional origin of AdS 2 quantum gravity

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

Abstract

We study AdS2 quantum gravity with emphasis on consistency with results from AdS3. We lift AdS2 black holes to three dimensions and map fluctuations around the solutions. Comparison with near extremal BTZ are discussed, with due emphasis on global aspects. The results confirm that parameters like central charges and conformal weights computed directly in 2D are consistent with standard results in 3D. Applying our results to the thermodynamics of near extreme Kerr black holes, we show that AdS2 quantum gravity gives the correct central charge c = 12J, and the entropy of excitations above the extremal limit is captured correctly.

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. A. Strominger, AdS 2 quantum gravity and string theory, JHEP 01 (1999) 007 [hep-th/9809027] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  2. A. Sen, Quantum entropy function from AdS 2/CFT1 correspondence, Int. J. Mod. Phys. A 24 (2009) 4225 [arXiv:0809.3304] [SPIRES].

    ADS  Google Scholar 

  3. 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 

  4. V. Balasubramanian and P. Kraus, A stress tensor for anti-de Sitter gravity, Commun. Math. Phys. 208 (1999) 413 [hep-th/9902121] [SPIRES].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. R. Emparan, C.V. Johnson and R.C. Myers, Surface terms as counterterms in the AdS/CFT correspondence, Phys. Rev. D 60 (1999) 104001 [hep-th/9903238] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  6. S. de Haro, S.N. Solodukhin and K. Skenderis, Holographic reconstruction of spacetime and renormalization in the AdS/CFT correspondence, Commun. Math. Phys. 217 (2001) 595 [hep-th/0002230] [SPIRES].

    Article  ADS  MATH  Google Scholar 

  7. K. Skenderis, Lecture notes on holographic renormalization, Class.Quant. Grav. 19 (2002) 5849 [hep-th/0209067] [SPIRES].

    Article  MathSciNet  MATH  Google Scholar 

  8. 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 

  9. A. Castro and F. Larsen, Near extremal kerr entropy from AdS 2 quantum gravity, JHEP 12 (2009) 037 [arXiv:0908.1121] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  10. R.K. Gupta and A. Sen, AdS 3/CFT 2 to AdS 2/CFT1, JHEP 04 (2009) 034 [arXiv:0806.0053] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  11. 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 

  12. M. Cadoni and S. Mignemi, Asymptotic symmetries of AdS 2 and conformal group in D =1, Nucl. Phys. B 557 (1999) 165 [hep-th/9902040] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  13. J. Navarro-Salas and P. Navarro, AdS 2/CFT 1 correspondence and near-extremal black hole entropy, Nucl. Phys. B 579 (2000) 250 [hep-th/9910076] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  14. J.-H. Cho, T. Lee and G.W. Semenoff, Two dimensional anti-de Sitter space and discrete light cone quantization, Phys. Lett. B 468 (1999) 52 [hep-th/9906078] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  15. M. Brigante, S. Cacciatori, D. Klemm and D. Zanon, The asymptotic dynamics of two-dimensional (anti-)de Sitter gravity, JHEP 03 (2002) 005 [hep-th/0202073] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  16. M. Astorino, S. Cacciatori, D. Klemm and D. Zanon, AdS 2 supergravity and superconformal quantum mechanics, Ann. Phys. 304 (2003) 128 [hep-th/0212096] [SPIRES].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. H.L. Verlinde, Superstrings on AdS 2 and superconformal matrix quantum mechanics, hep-th/0403024 [SPIRES].

  18. T. Azeyanagi, T. Nishioka and T. Takayanagi, Near extremal black hole entropy as entanglement entropy via AdS 2/CFT 1, Phys. Rev. D 77 (2008) 064005 [arXiv:0710.2956] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  19. 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 

  20. 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 

  21. Y. Matsuo, T. Tsukioka and C.-M. Yoo, Yet another realization of Kerr/CFT correspondence, Europhys. Lett. 89 (2010) 60001 [arXiv:0907.4272] [SPIRES].

    Article  ADS  Google Scholar 

  22. J. Rasmussen, Isometry-preserving boundary conditions in the Kerr/CFT correspondence, Int. J. Mod. Phys. A 25 (2010) 1597 [arXiv:0908.0184] [SPIRES].

    ADS  Google Scholar 

  23. M. Spradlin and A. Strominger, Vacuum states for AdS 2 black holes, JHEP 11 (1999) 021 [hep-th/9904143] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  24. A. Sen, Arithmetic of quantum entropy function, JHEP 08 (2009) 068 [arXiv:0903.1477] [SPIRES].

    Article  ADS  Google Scholar 

  25. 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 

  26. J.M. Maldacena and A. Strominger, AdS 3 black holes and a stringy exclusion principle, JHEP 12 (1998) 005 [hep-th/9804085] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  27. E.J. Martinec, Conformal field theory, geometry and entropy, hep-th/9809021 [SPIRES].

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

    Article  ADS  Google Scholar 

  29. P. Kraus and F. Larsen, Microscopic black hole entropy in theories with higher derivatives, JHEP 09 (2005) 034 [hep-th/0506176] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  30. R. Dijkgraaf, J.M. Maldacena, G.W. Moore and E.P. Verlinde, A black hole farey tail, hep-th/0005003 [SPIRES].

  31. J.M. Bardeen and G.T. Horowitz, The extreme Kerr throat geometry: a vacuum analog of AdS 2 × S 2, Phys. Rev. D 60 (1999) 104030 [hep-th/9905099] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  32. 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  MathSciNet  ADS  Google Scholar 

  33. 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  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Physics Department, McGill University, Montreal, QC, H3A 2T8, Canada

    Alejandra Castro

  2. Department of Physics, Harvard University, Cambridge, MA, 02138, U.S.A.

    Cynthia Keeler

  3. Michigan Center for Theoretical Physics, Ann Arbor, MI, 48109, U.S.A.

    Finn Larsen

Authors
  1. Alejandra Castro
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Cynthia Keeler
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Finn Larsen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Alejandra Castro.

Additional information

ArXiv ePrint: 1004.0554

Rights and permissions

Reprints and permissions

About this article

Cite this article

Castro, A., Keeler, C. & Larsen, F. Three dimensional origin of AdS 2 quantum gravity. J. High Energ. Phys. 2010, 33 (2010). https://doi.org/10.1007/JHEP07(2010)033

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/JHEP07(2010)033

Keywords

Search

Navigation