AdS_3, Black Holes and Higher Derivative Corrections

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.

LaTeX file, 12 pages; v2: reference added

References in corpus (3)

• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• Black Hole Entropy in the presence of Chern-Simons Terms
• Three-dimensional supergravity reloaded

Cited by in corpus (4)

• Consistent Kaluza-Klein Reductions for General Supersymmetric AdS Solutions
• alpha'-exact entropies for BPS and non-BPS extremal dyonic black holes in heterotic string theory from ten-dimensional supersymmetry
• Consistent Truncation to Three Dimensional (Super-)gravity
• alpha'^2-corrections to extremal dyonic black holes in heterotic string theory