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arXiv · 1508.01152

Magnetized Kerr/CFT Correspondence

Haryanto M. Siahaan
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Abstract

We extend the conjectured Kerr/CFT correspondence to the case of extremal Kerr black holes immersed by an magnetic field, namely the extremal Melvin-Kerr black holes. We compute the central charge which appears in the associated Virasoro algebra generated by a class of diffeomorphisms that satisfies a set of boundary conditions in the near horizon of an extremal Melvin-Kerr black hole. Our results support the Kerr/CFT conjecture, where the macroscopic Bekenstein-Hawking entropy for an extremal Melvin-Kerr black hole matches the result obtained from a dual 2D CFT microscopic computation using Cardy formula. Interestingly, the dual CFT description could be non-unitary, due to the possibility of negative central charge.

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Haryanto M. Siahaan. 2015-08-05. Magnetized Kerr/CFT Correspondence. https://doi.org/10.1088/0264-9381/33/15/155013

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