AdS_3, Black Holes and Higher Derivative Corrections
High Energy Physics - Theory
2009-04-17 v2
Abstract
Using AdS/CFT correspondence and the Euclidean action formalism for black hole entropy Kraus and Larsen have argued that the entropy of a BTZ black hole in three dimensional supergravity with (0,4) supersymmetry does not receive any correction from higher derivative terms in the action. We argue that as a consequence of AdS/CFT correspondence the action of a three dimensional supergravity with (0,4) supersymmetry cannot receive any higher derivative correction except for those which can be removed by field redefinition. The non-renormalization of the entropy then follows as a consequence of this and the invariance of Wald's formula under a field redefinition.
Cite
@article{arxiv.0705.0735,
title = {AdS_3, Black Holes and Higher Derivative Corrections},
author = {Justin R. David and Bindusar Sahoo and Ashoke Sen},
journal= {arXiv preprint arXiv:0705.0735},
year = {2009}
}