Logarithmic corrections to and black hole entropy: a one loop test of quantum gravity View Full Text


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Article Info

DATE

2011-11

AUTHORS

Shamik Banerjee, Rajesh Kumar Gupta, Ipsita Mandal, Ashoke Sen

ABSTRACT

We compute logarithmic corrections to the entropy of supersymmetric extremal black holes in and 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 supersymmetric theories, but has a finite coefficient for 1/8 BPS black holes in the 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 AdS2/CF T1 correspondence. We also extend our analysis to supersymmetric STU model and make a prediction for the logarithmic correction to the black hole entropy in that theory. More... »

PAGES

143

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    http://scigraph.springernature.com/pub.10.1007/jhep11(2011)143

    DOI

    http://dx.doi.org/10.1007/jhep11(2011)143

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