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Deformed conformal symmetry of Kerr–Newman-NUT-AdS black holes

  • M. F. A. R. Sakti
  • A. M. GhezelbashEmail author
  • A. Suroso
  • F. P. Zen
Research Article

Abstract

We find generators of the conformal symmetry for the class of Kerr–Newman-NUT-AdS black holes from the deformed scalar probe equation. We find two classes of solutions for the generators (also known as conformal J and Q pictures). The two classes of deformed generators are the extension of similar generators for the regular conformal symmetry. Moreover, we find that the two pictures can be generalized and extended into a general picture. In each picture, the generators produce an extended local family of \(SL(2,\mathbb {R})_L \times SL(2,\mathbb {R})_R\) hidden conformal symmetries for the Kerr–Newman-NUT-AdS black holes which are parameterized by one deformation parameter. We find the absorption cross-section of the scalar probes for the Kerr–Newman-NUT-AdS black holes, which in turn, supports the existence of Kerr/CFT correspondence. Moreover, our deformed conformal generators for the Kerr–Newman-NUT-AdS black holes provide the deformed conformal generators for the non-rotating Reissner–Nordström-NUT-AdS black holes.

Keywords

Holography Rotating black holes Conformal field theory Kerr–Newman-NUT-AdS geometry 

Notes

Acknowledgements

A. M. Ghezelbash would like to acknowledge the support, by the Natural Sciences and Engineering Research Council of Canada. M. F. A. R. S., A. S, and F. P. Z. are supported partly, by “Riset PMDSU 2018” and “PKPI Scholarship” from Ministry of Research, Technology, and Higher Education of the Republic of Indonesia.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Physics and Engineering PhysicsUniversity of SaskatchewanSaskatoonCanada
  2. 2.Theoretical Physics Lab., THEPI DivisionInstitut Teknologi BandungBandungIndonesia
  3. 3.Indonesia Center for Theoretical and Mathematical Physics (ICTMP)Institut Teknologi BandungBandungIndonesia

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