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The Kerr/CFT Correspondence and String Theory
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BibTeX
@MISC{Azeyanagi_thekerr/cft,
author = {Tatsuo Azeyanagi and Noriaki Ogawa and Seiji Terashima},
title = {The Kerr/CFT Correspondence and String Theory},
year = {}
}
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Abstract
The Kerr/CFT correspondence is a holographic duality between a two dimensional chiral CFT and the very near horizon limit of an extremal black hole, which includes the AdS2 structure. To understand the dual chiral CFT2, we apply the Kerr/CFT correspondence to a certain class of black holes embedded in string theory, which includes the D1-D5-P and the BMPV black hole, and obtain the correct entropies for the black holes microscopically. These have the AdS3 throat in the near horizon geometry and the AdS2 throat in the very near horizon geometry. We identified one of the two Virasoros in the non-chiral CFT2 dual to the AdS3, i.e. in the AdS3/CFT2, with the Virasoro in the chiral CFT2 dual to the AdS2, i.e. in the Kerr/CFT correspondence. We also discuss a way to understand the chiral CFT2 dual to generic extremal black holes. A kind of universality for the very near horizon geometries of extremal black holes will be important for the validity of the Kerr/CFT correspondence. Based on this analysis, we propose that the Kerr/CFT correspondence can be understood as a decoupling limit in which only the ground states remain.
Keyphrases
kerr cft correspondence string theory extremal black hole black hole horizon geometry chiral cft2 dual dual chiral cft2 correct entropy non-chiral cft2 dual holographic duality ads3 throat certain class bmpv black hole ads3 cft2 near horizon geometry dimensional chiral cft ads2 structure ads2 throat horizon limit
