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Microscopics of extremal Kerr from spinning M5 branes

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Abstract

We show that the spinning magnetic one-brane in minimal five-dimensional supergravity admits a decoupling limit that interpolates smoothly between a self-dual null orbifold of AdS3 × S 2 and the near-horizon limit of the extremal Kerr black hole times a circle. We use this interpolating solution to understand the field theory dual to spinning M5 branes as a deformation of the Discrete Light Cone Quantized (DLCQ) Maldacena-Stominger-Witten (MSW) CFT. In particular, the conformal weights of the operators dual to the deformation around AdS3 × S 2 are calculated. We present pieces of evidence showing that a CFT dual to the four-dimensional extremal Kerr can be obtained from the deformed MSW CFT.

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References

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

    MathSciNet  ADS  Google Scholar 

  2. J.M. Maldacena, A. Strominger and E.Witten, Black hole entropy in M-theory, JHEP 12 (1997) 002 [hep-th/9711053] [ INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

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

    MathSciNet  ADS  Google Scholar 

  4. M. Guica and A. Strominger, Microscopic realization of the Kerr/CFT correspondence, JHEP 02 (2011) 010 [arXiv:1009.5039] [ INSPIRE].

    MathSciNet  ADS  Google Scholar 

  5. A.S. Chou, R. Kallosh, J. Rahmfeld, S.-J. Rey, M. Shmakova, et al., Critical points and phase transitions in 5− D compactifications of M-theory, Nucl. Phys. B 508 (1997) 147 [hep-th/9704142] [ INSPIRE].

    MathSciNet  ADS  Google Scholar 

  6. G. Compere, S. de Buyl, E. Jamsin and A. Virmani, G2 Dualities in D =5 supergravity and black strings, Class. Quant. Grav. 26 (2009) 125016 [arXiv:0903.1645] [ INSPIRE].

    Article  ADS  Google Scholar 

  7. D. Astefanesei, K. Goldstein, R.P. Jena, A. Sen and S.P. Trivedi, Rotating attractors, JHEP 10 (2006) 058 [hep-th/0606244] [ INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  8. D. Astefanesei and H. Yavartanoo, Stationary black holes and attractor mechanism, Nucl. Phys. B 794 (2008) 13 [arXiv:0706.1847] [ INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  9. H.K. Kunduri, J. Lucietti and H.S. Reall, Near-horizon symmetries of extremal black holes, Class. Quant. Grav. 24 (2007) 4169 [arXiv:0705.4214] [ INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. J.M. Bardeen and G.T. Horowitz, The extreme Kerr throat geometry: a vacuum analog of AdS2 × S 2, Phys. Rev. D 60 (1999) 104030 [hep-th/9905099] [ INSPIRE].

    MathSciNet  ADS  Google Scholar 

  11. O. Coussaert and M. Henneaux, Selfdual solutions of (2 + 1) Einstein gravity with a negative cosmological constant, hep-th/9407181 [ INSPIRE].

  12. J.P. Gauntlett, J.B. Gutowski, C.M. Hull, S. Pakis and H.S. Reall, All supersymmetric solutions of minimal supergravity in five-dimensions, Class. Quant. Grav. 20 (2003) 4587 [hep-th/0209114] [ INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. N. Seiberg, Why is the matrix model correct?, Phys. Rev. Lett. 79 (1997) 3577 [hep-th/9710009] [ INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  14. V. Balasubramanian, J. de Boer, 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] [ INSPIRE].

    Article  ADS  Google Scholar 

  15. J.M. Maldacena and A. Strominger, AdS3 black holes and a stringy exclusion principle, JHEP 12 (1998) 005 [hep-th/9804085] [ INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  16. M. Guica, T. Hartman, W. Song and A. Strominger, work in progress.

  17. A. Fujii, R. Kemmoku and S. Mizoguchi, D =5 simple supergravity on AdS3 × S 2 and N =4 superconformal field theory, Nucl. Phys. B 574 (2000) 691 [hep-th/9811147] [ INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  18. J. de Boer, F. Denef, S. El-Showk, I. Messamah and D. Van den Bleeken, Black hole bound states in AdS3 × S 2 , JHEP 11 (2008) 050 [arXiv:0802.2257] [ INSPIRE].

    Article  Google Scholar 

  19. J. 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 

  20. T. Azeyanagi, N. Ogawa and S. Terashima, Holographic duals of Kaluza-Klein black holes, JHEP 04 (2009) 061 [arXiv:0811.4177] [ INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  21. 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] [ INSPIRE].

    Article  ADS  Google Scholar 

  22. A.J. Amsel, D. Marolf and M.M. Roberts, On the stress tensor of Kerr/CFT, JHEP 10 (2009) 021 [arXiv:0907.5023] [ INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  23. J.M. Maldacena and L. Susskind, D-branes and fat black holes, Nucl. Phys. B 475 (1996) 679 [hep-th/9604042] [ INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

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Correspondence to Geoffrey Compère.

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ArXiv ePrint: 1010.0685

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Compère, G., Song, W. & Virmani, A. Microscopics of extremal Kerr from spinning M5 branes. J. High Energ. Phys. 2011, 87 (2011). https://doi.org/10.1007/JHEP10(2011)087

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