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arXiv · 0705.0735

AdS_3, Black Holes and Higher Derivative Corrections

Justin R. David·Bindusar Sahoo·Ashoke Sen
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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.

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Justin R. David, Bindusar Sahoo, Ashoke Sen. 2007-05-19. AdS_3, Black Holes and Higher Derivative Corrections. https://doi.org/10.1088/1126-6708%2F2007%2F07%2F058

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