AdS_3, Black Holes and Higher Derivative Corrections

Details AdS_3, Black Holes and Higher Derivative Corrections AdS_3, Black Holes and Higher Derivative Corrections

2007-05-05

arxiv.org/abs/0705.0735v2

JHEP 0707:058,2007

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 12 pages; v2: reference added

Scientific paper

10.1088/1126-6708/2007/07/058

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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