Duality symmetry and the Cardy limit

Nampuri, Suresh ; Tripathy, Prasanta K. ; Trivedi, Sandip P. (2008) Duality symmetry and the Cardy limit Journal of High Energy Physics, 2008 (7). 072_1-072_41. ISSN 1126-6708

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Official URL: http://iopscience.iop.org/1126-6708/2008/07/072?fr...

Related URL: http://dx.doi.org/10.1088/1126-6708/2008/07/072

Abstract

We study supersymmetric and non-supersymmetric extremal black holes obtained in Type IIA string theory compactified on K3 × T2, with duality group O(6, 22,Z ) × SL(2,Z ). In the Cardy limit an internal circle combines with the AdS2 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.

Item Type:Article
Source:Copyright of this article belongs to Institute of Physics.
Keywords:String Duality; Black Holes in String Theory
ID Code:57609
Deposited On:27 Aug 2011 15:05
Last Modified:18 May 2016 08:57

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