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Hidden conformal symmetry of rotating charged black holes

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Abstract

Motivated by the recent work of the hidden conformal symmetry of the Kerr black hole, we investigate the hidden conformal symmetry of a Kerr–Sen black hole and a Kerr–Newman–Kasuya black hole. Our result shows the conformal symmetry is spontaneously broken due to the periodicity of the azimuthal angle. The absorption across section is in consistence with the finite temperature absorption cross section for a 2D CFT. The entropies of the black holes are reproduced by the Cardy formula.

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References

  1. Guica, M., Hartman, T., Song, W., Strominger, A.: The Kerr/CFT correspondence. arXiv:0809.4266 [hep-th]

  2. Brown J.D., Henneaux M.: Central charges in the canonical realization of asymptotic symmetries: an example from three-dimensional gravity commun. Math. Phys. 104, 207 (1986)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. Hotta K., Hyakutake Y., Kubota T., Nishinaka T., Tanida H.: The CFT-interpolating black hole in three dimensions. JHEP 0901, 010 (2009) arXiv:0811.0910[hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  4. Lu H., Mei J., Pope C.N.: Kerr-AdS/CFT correspondence in diverse dimensions. JHEP 0904, 054 (2009) arXiv:0811.2225[hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  5. Azeyanagi, T., Ogawa, N., Terashima, S.: Holographic duals of Kaluza–Klein black holes. arXiv: 0811.4177[hep-th]

  6. Hartman T., Murata K., Nishioka T., Strominger A.: CFT duals for extreme black holes. JHEP 0904, 019 (2009) arXiv:0811.4393[hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  7. Nakayama Y.: Emerging AdS from extremally rotating NS5-branes. Phys. Lett. B 673, 272 (2009) arXiv:0812.2234[hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  8. Chow D.D.K., Cvetic M., Lu H., Pope C.N.: Phys. Rev. D 79, 084018 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  9. Isono H., Tai T.S., Wen W.Y.: Int. J. Mod. Phys. A 24, 5659 (2009)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  10. Azeyanagi T., Ogawa N., Terashima S.: Phys. Rev. D 79, 106009 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  11. Peng J.J., Wu S.Q.: Phys. Lett. B 673, 216 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  12. Peng J.J., Wu S.Q.: Nucl. Phys. B 828, 273 (2010)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  13. Carroll S.M., Johnson M.C., Randall L.: JHEP 0911, 109 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  14. Astefanesei D., Srivastava Y.K.: Nucl. Phys. B 822, 283 (2009) arXiv:0902.4033[hep-th]

    Article  MATH  MathSciNet  ADS  Google Scholar 

  15. Astefanesei D., Yavartanoo H.: Nucl. Phys. B 794, 13 (2008) arXiv:0706.1847[hep-th]

    Article  MATH  MathSciNet  ADS  Google Scholar 

  16. Krishnan C., Kuperstein S.: Phys. Lett. B 677, 326 (2009) arXiv:0903.2169[hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  17. Loran F., Soltanpanahi H.: Class. Quant. Grav. 26, 155019 (2009)

    Article  ADS  Google Scholar 

  18. Ghezelbash A.M.: JHEP 0908, 045 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  19. Lu H., Mei J., Pope C.N., Vazquez-Poritz J.: Phys. Lett. B 73, 77 (2009)

    MathSciNet  ADS  Google Scholar 

  20. Compere G., Murata K., Nishioka T.: JHEP 0905, 077 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  21. Hotta K.: Phys. Rev. D 79, 104018 (2009)

    Article  ADS  Google Scholar 

  22. Garousi, M.R., Ghodsi, A.: The RN/CFT correspondence. arXiv:0902.4387[hep-th]

  23. Ghezelbash, A.M.: Kerr-Bolt spacetimes and Kerr/CFT correspondence. arXiv:0902.4662[hep-th]

  24. Wen, W.Y.: Holographic descriptions of (near-)extremal black holes in five dimensional minimal supergravity. arXiv:0902.4662[hep-th]

  25. Azeyanagi T., Compere G., Ogawa N., Tachikawa Y., Terashima S.: Prog. Theor. hys. 122, 355 (2009)

    Article  MATH  ADS  Google Scholar 

  26. Wu X.N., Tian Y.: Phys. Rev. D 80, 024014 (2009)

    Article  ADS  Google Scholar 

  27. Nishioka T., Ryu S., Takayanagi T.: J. Phys. A 42, 504008 (2009)

    Article  MathSciNet  Google Scholar 

  28. Cao L.M., Matsuo Y., Tsukioka T., Yoo C.M.: Phys. Lett. B 679, 390 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  29. Dias O.J.C., Reall H.S., Santos J.E.: JHEP 0908, 101 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  30. Amsel A.J., Horowitz G.T., Marolf D., Roberts M.M.: JHEP 0909, 044 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  31. Matsuo Y., Tsukioka T., Yoo C.M.: Nucl. Phys. B 825, 231 (2010)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  32. Matsuo, Y., Tsukioka, T., Yoo, C.M.: Yet another realization of Kerr/CFT correspondence. arXiv: 0907.4272[hep-th]

  33. Bredberg, I., Hartman, T., Song, W., Strominger, A.: Black hole superradiance from Kerr/CFT. arXiv: 0907.3477[hep-th]

  34. Amsel, A.J., Marolf, D., Roberts, M.M.: On the stress tensor of Kerr/CFT. arXiv:0907.3477[hep-th]

  35. Chen B., Xu Z.: JHEP 0911, 091 (2009)

    Article  ADS  Google Scholar 

  36. Rasmussen J.: Int. J. Mod. Phys. A 25, 1597 (2010)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  37. Castro A., Larsen F.: JHEP 0912, 037 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  38. Cvetic M., Larsen F.: JHEP 0909, 088 (2009)

    Article  MathSciNet  ADS  Google Scholar 

  39. Hartman T., Song W., Strominger A.: JHEP 1003, 118 (2010)

    Article  ADS  Google Scholar 

  40. Jejjala V., Nampuri S.: JHEP 1002, 088 (2010)

    Article  MathSciNet  ADS  Google Scholar 

  41. Rasmussen, J.: A note on Kerr/CFT and free fields. arXiv:0909.2924[hep-th]

  42. Chen C.M., Sun J.R., Zou S.J.: JHEP 1001, 057 (2010)

    MathSciNet  ADS  Google Scholar 

  43. Anninos D., Hartman T.: JHEP 1003, 096 (2010)

    Article  ADS  Google Scholar 

  44. Soltanpanahi, H.: Near horizon of 5D rotating black holes from 2D perspective. arXiv:0911.0148 [hep-th]

  45. Chen, B., Ning, B., Xu, Z.: Real-time correlators in warped AdS/CFT correspondence, arXiv: 0911.0167[hep-th]

  46. Chen, B., Chu, C.S.: RReal-time correlators in Kerr/CFT correspondence. arXiv:1001.3208 [hep-th]

  47. Mei, J.W.: The entropy for general extremal black holes. arXiv:1002.1349[hep-th]

  48. Castro, A., Maloney, A., Strominger A.: Hidden conformal symmetry of the Kerr black hole. arXiv: 1004.0996[hep-th]

  49. Krishnan, C.: Hidden conformal symmetries of five-dimensional black holes. arXiv:1004.3537[hep-th]

  50. Chen, C.M., Sun, J.R.: Hidden conformal symmetry of the Reissner–Nordstrom black holes. arXiv: 1004.3963[hep-th]

  51. Wang, Y.Q., Liu, Y.X.: Hidden conformal symmetry of the Kerr–Newman black hole. arXiv: 1004.4661[hep-th]

  52. Chen, B., Long, J.: Real-time correlators and hidden conformal symmetry in Kerr/CFT correspondence. arXiv:1004.5039[hep-th]

  53. Li, R., Li, M.F., Ren, J.R.: Entropy of Kaluza–Klein black hole from Kerr/CFT correspondence. arXiv: 1004.5335[hep-th]

  54. Sen A.: Gen. Relativ. Gravit. 40, 2249 (2008) arXiv:0708.1270

    Article  MATH  ADS  Google Scholar 

  55. Sen A.: Phys. Rev. Lett. 69, 1006 (1992)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  56. Garcia A., Galtsov D., Kechkin O.: Phys. Rev. Lett. 74, 1276 (1995)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  57. Klebanov I.R., Mathur S.D.: Nucl. Phys. B 500, 115 (1997)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  58. Creek S., Efthimiou O., Kanti P., Tamvakis K.: Phys. Rev. D 75, 084043 (2007) arXiv:0701288 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  59. Creek S., Efthimiou O., Kanti P., Tamvakis K.: Phys. Rev. D 76, 104013 (2007) arXiv:0701288 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  60. Kasuya M.: Phys. Rev. D 25, 995 (1982)

    Article  MathSciNet  ADS  Google Scholar 

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Correspondence to Houwen Wu.

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Chen, D., Wang, P., Wu, H. et al. Hidden conformal symmetry of rotating charged black holes. Gen Relativ Gravit 43, 181–190 (2011). https://doi.org/10.1007/s10714-010-1080-7

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  • DOI: https://doi.org/10.1007/s10714-010-1080-7

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