Magnetized Kerr/CFT Correspondence
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.
Cite
@article{arxiv.1508.01152,
title = {Magnetized Kerr/CFT Correspondence},
author = {Haryanto M. Siahaan},
journal= {arXiv preprint arXiv:1508.01152},
year = {2016}
}
Comments
13 pages, no figures; v2. 18 pages, add some clarifications and refs; v3. 19 pages, more clarifications