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Deformed hidden conformal symmetry for rotating black holes

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Abstract

The generic non-extremal Kerr–Newman black holes are holographically dual to hidden conformal field theories in two different pictures. The two pictures can be merged together to the dual conformal field theories (CFTs) in general picture that are generated by \(SL(2,\mathbb {Z})\) modular group. We find some extensions of the conformal symmetry generators that yield an extended local family of \(SL(2,\mathbb {R})_L \times SL(2,\mathbb {R})_R\) hidden conformal symmetries for the Kerr–Newman black holes, parameterized by one deformation parameter. The family of deformed hidden conformal symmetry for Kerr–Newman black holes also provides a set of deformed hidden conformal symmetry for the charged Reissner–Nordstrom black holes. The set of deformed hidden conformal generators reduce to the hidden \(SL(2,\mathbb {R})\) conformal generators for the Reissner–Nordstrom black hole for specific value of deformation parameter. We also find agreements between the macroscopic and microscopic entropy and absorption cross-section of scalars for the Kerr–Newman black hole by considering the appropriate temperatures and central charges for the deformed CFTs.

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Notes

  1. Known as the hidden conformal symmetry.

References

  1. Compere, G.: Living Rev. Rel. 15, 11 (2012)

    Google Scholar 

  2. Bredberg, I., Keeler, C., Lysov, V., Strominger, A.: Nucl. Phys. Proc. Suppl. 216, 194 (2011)

    Article  ADS  MathSciNet  Google Scholar 

  3. Guica, M., Hartman, T., Song, W., Strominger, A.: Phys. Rev. D 80, 124008 (2009)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

  5. Matsuo, Y., Tsukioka, T., Yoo, C.-M.: Europhys. Lett. 89, 60001 (2010)

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  7. Mei, J.: JHEP 1004, 005 (2010)

    Article  ADS  Google Scholar 

  8. Rasmussen, J.: Mod. Phys. Lett. A 26, 1601 (2011)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  9. Li, R., Li, M.-F., Ren, J.-R.: Phys. Lett. B 691, 249 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  10. Lu, H., Mei, J., Pope, C.N.: JHEP 0904, 054 (2009)

    Article  ADS  MathSciNet  Google Scholar 

  11. Ghezelbash, A.M.: Mod. Phys. Lett. A 27, 1250046 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  12. Barnes, E., Vaman, D., Wu, C.: Class. Quantum Grav. 27, 095019 (2010)

    Article  ADS  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  MATH  Google Scholar 

  15. Garousi, M.R., Ghodsi, A.: Phys. Lett. B 687, 79 (2010)

    Article  ADS  MathSciNet  Google Scholar 

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

    ADS  MathSciNet  Google Scholar 

  17. Chen, B., Zhang, J.-J.: JHEP 1301, 155 (2013)

    Article  ADS  Google Scholar 

  18. Astefanesei, D., Srivastava, Y.K.: Nucl. Phys. B 822, 283 (2009)

    Article  ADS  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  21. Castro, A., Maloney, A., Strominger, A.: Phys. Rev. D 82, 024008 (2010)

    Article  ADS  MathSciNet  Google Scholar 

  22. Shao, K.-N., Zhang, Z.: Phys. Rev. D 83, 106008 (2011)

    Article  ADS  Google Scholar 

  23. Chen, B., Long, J., Zhang, J.-J.: Phys. Rev. D 82, 104017 (2010)

    Article  ADS  Google Scholar 

  24. Porfyriadis, A.P., Wilczek, F.: arXiv:1007.1031 [gr-qc]

  25. Monteiro, R.: arXiv:1006.5358 [hep-th]

  26. Wang, Y.-Q., Liu, Y.-X.: JHEP 1008, 087 (2010)

  27. Chen, C.-M., Sun, J.-R.: Int. J. Mod. Phys. Conf. Ser. 07, 227 (2012)

    Article  Google Scholar 

  28. Setare, M.R., Kamali, V.: Phys. Rev. D 82, 086005 (2010)

    Article  ADS  Google Scholar 

  29. Chen, D., Wang, P., Wu, H., Yang, H.: Gen. Rel. Grav. 43, 181 (2011)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  30. Chen, C.-M., Huang, Y.-M., Sun, J.-R., Wu, M.-F., Zou, S.-J.: Phys. Rev. D 82, 066004 (2010)

    Article  ADS  Google Scholar 

  31. Chen, B., Zhang, J.-J.: Nucl. Phys. B 856, 449 (2012)

    Article  ADS  MATH  Google Scholar 

  32. Chen, B., Zhang, J.-J.: JHEP 1108, 114 (2011)

    ADS  Google Scholar 

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

    Article  ADS  MATH  MathSciNet  Google Scholar 

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

    Article  ADS  MathSciNet  Google Scholar 

  35. Ghezelbash, A.M., Siahaan, H.M.: Class. Quantum Grav. 30, 135005 (2013)

    Article  ADS  MathSciNet  Google Scholar 

  36. Lowe, D.A., Skanata, A.: J. Phys. A 45, 475401 (2012)

    Article  ADS  MathSciNet  Google Scholar 

  37. Gibbons, G.W., Maeda, K.-I.: Nucl. Phys. B 298, 741 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  38. Garfinkle, D., Horowitz, G.T., Strominger, A.: Phys. Rev. D 43, 3140 (1991) [Erratum-ibid. D 45, 3888 (1992)]

  39. Brady, P.R., Smith, J.D.: Phys. Rev. Lett. 75, 1256 (1995)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  40. Burko, L.: Phys. Rev. Lett. 79, 4958 (1997)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  41. Gnedin, M.L., Gnedin, N.Y.: Class. Quantum Grav. 10, 1083 (1993)

    Article  ADS  MathSciNet  Google Scholar 

  42. Brady, P.R., Droz, S., Morsink, S.M.: Phys. Rev. D 58, 084034 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  43. Maldacena, J.M., Strominger, A.: Phys. Rev. D 56, 4975 (1997)

    Article  ADS  MathSciNet  Google Scholar 

  44. Bertini, S., Cacciatori, S.L., Klemm, D.: Phys. Rev. D 85, 064018 (2012)

    Article  ADS  Google Scholar 

  45. Chen, C.-M., Sun, J.-R.: JHEP 1008, 034 (2010)

    Article  ADS  Google Scholar 

Download references

Acknowledgments

This work was supported by the Natural Sciences and Engineering Research Council of Canada.

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Authors and Affiliations

  1. Department of Physics and Engineering Physics, University of Saskatchewan, Saskatoon, Saskatchewan , S7N 5E2, Canada

    A. M. Ghezelbash & H. M. Siahaan

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  1. A. M. Ghezelbash
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  2. H. M. Siahaan
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Correspondence to A. M. Ghezelbash.

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Ghezelbash, A.M., Siahaan, H.M. Deformed hidden conformal symmetry for rotating black holes. Gen Relativ Gravit 46, 1783 (2014). https://doi.org/10.1007/s10714-014-1783-2

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