Magnetized Kerr/CFT Correspondence
arXiv:1508.01152 · doi:10.1088/0264-9381/33/15/155013
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.
13 pages, no figures; v2. 18 pages, add some clarifications and refs; v3. 19 pages, more clarifications
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- Three Dimensional Black Hole in the Low Energy Heterotic String Theory