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Title
Abstract
Contents 1. Introduction
Background
The Supersymmetric Case
The Non-Supersymmetric Case
Conclusions
References
All Topics
Physics
Relativity

Duality symmetry and the Cardy limit

Profile image of sandip trivedisandip trivedi

2008, Journal of High Energy Physics

https://doi.org/10.1088/1126-6708/2008/07/072
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46 pages

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Abstract

We study supersymmetric and non-supersymmetric extremal black holes obtained in Type IIA string theory compactified on K3 × T 2 , with duality group O(6, 22, Z) × SL(2, Z). In the Cardy limit an internal circle combines with the AdS 2 component in the near horizon geometry to give a BTZ black hole whose entropy is given by the Cardy formula. We study black holes carrying D0 −D4 and D0 −D6 brane charges. We find, both in the supersymmetric and non-supersymmetric cases, that a generic set of charges cannot be brought to the Cardy limit using the duality symmetries. In the non-supersymmetric case, unlike the supersymmetric one, we find that when the charges are large, a small fractional change in them always allows the charges to be taken to the Cardy limit. These results could lead to a microscopic determination of the entropy for extremal non-supersymmetric black holes, including rotating cases like the extreme Kerr black hole in four dimensions.

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