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Heat kernels on the AdS(2) cone and logarithmic corrections to extremal black hole entropy

Gupta, Rajesh Kumar and Lal, Shailesh and Thakur, Somyadip (2014) Heat kernels on the AdS(2) cone and logarithmic corrections to extremal black hole entropy. In: JOURNAL OF HIGH ENERGY PHYSICS (3).

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Official URL: http://dx.doi.org / 10.1007/JHEP03(2014)043

Abstract

We develop new techniques to efficiently evaluate heat kernel coefficients for the Laplacian in the short-time expansion on spheres and hyperboloids with conical singularities. We then apply these techniques to explicitly compute the logarithmic contribution to black hole entropy from an N = 4 vector multiplet about a Z(N) orbifold of the near-horizon geometry of quarter-BPS black holes in N = 4 supergravity. We find that this vanishes, matching perfectly with the prediction from the microstate counting. We also discuss possible generalisations of our heat kernel results to higher-spin fields over ZN orbifolds of higher-dimensional spheres and hyperboloids.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Keywords: Black Holes in String Theory; AdS-CFT Correspondence
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 24 Feb 2015 06:31
Last Modified: 24 Feb 2015 06:31
URI: http://eprints.iisc.ac.in/id/eprint/50865

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