Logarithmic corrections to \( \mathcal{N} = {4} \) and \( \mathcal{N} = {8} \) black hole entropy: a one loop test of quantum gravity
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Publication:2261066
DOI10.1007/JHEP11(2011)143zbMATH Open1306.83038arXiv1106.0080WikidataQ59270420 ScholiaQ59270420MaRDI QIDQ2261066
Author name not available (Why is that?)
Publication date: 6 March 2015
Published in: (Search for Journal in Brave)
Abstract: We compute logarithmic corrections to the entropy of supersymmetric extremal black holes in N=4 and N=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 N=4 supersymmetric theories, but has a finite coefficient for 1/8 BPS black holes in the N=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/CFT_1 correspondence. We also extend our analysis to N=2 supersymmetric STU model and make a prediction for the logarithmic correction to the black hole entropy in that theory.
Full work available at URL: https://arxiv.org/abs/1106.0080
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