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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer-Verlag

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1029-8479

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Logarithmic corrections to mathcalN = 4

Authors: Shamik Banerjee Rajesh Kumar Gupta Ipsita Mandal Ashoke Sen
Publish Date: 2011/11/29
Volume: 2011, Issue: 11, Pages: 143-
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Abstract

We compute logarithmic corrections to the entropy of supersymmetric extremal black holes in mathcalN = 4 and mathcalN = 8 supersymmetric string theories and find results in perfect agreement with the microscopic results In particular these logarithmic corrections vanish for quarter BPS black holes in mathcalN = 4 supersymmetric theories but has a finite coefficient for 1/8 BPS black holes in the mathcalN = 8 supersymmetric theory On the macroscopic side these computations require evaluating the one loop determinant of massless fields around the near horizon geometry and include in particular contributions from dynamical four dimensional gravitons propagating in the loop Thus our analysis provides a test of one loop quantum gravity corrections to the black hole entropy or equivalently of the AdS 2/CF T 1 correspondence We also extend our analysis to mathcalN = 2 supersymmetric STU model and make a prediction for the logarithmic correction to the black hole entropy in that theoryThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team

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