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 (20)

• Gauge Theory Correlators from Non-Critical String Theory
• The Black Hole in Three Dimensional Space Time
• Black Hole Entropy is Noether Charge
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Black Hole Entropy from Near-Horizon Microstates
• AdS3 Black Holes and a Stringy Exclusion Principle
• On Black Hole Entropy
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• Holographic Gravitational Anomalies
• Supersymmetric Completion of an R^2 Term in Five-Dimensional Supergravity
• Black Hole Entropy in the presence of Chern-Simons Terms
• Holography with Gravitational Chern-Simons Term
• Black Hole Microstates and Attractor Without Supersymmetry
• Statistical Entropy of BTZ Black Hole in Higher Curvature Gravity
• BTZ Black Hole with Chern-Simons and Higher Derivative Terms
• Partition functions and elliptic genera from supergravity
• Three-dimensional supergravity reloaded
• 5D Attractors with Higher Derivatives
• Super Weyl Anomalies in the AdS/CFT Correspondence
• Anti-de Sitter gravity associated with the supergroup $SU(1,1|2)\times SU(1,1|2)$

Cited by in corpus (13)

• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Consistent Kaluza-Klein Reductions for General Supersymmetric AdS Solutions
• D=5 SU(2)xU(1) Gauged Supergravity from D=11 Supergravity
• alpha'-exact entropies for BPS and non-BPS extremal dyonic black holes in heterotic string theory from ten-dimensional supersymmetry
• Extremal black holes in D=5: SUSY vs. Gauss-Bonnet corrections
• alpha'^2-corrections to extremal dyonic black holes in heterotic string theory
• Consistent Truncation to Three Dimensional (Super-)gravity
• Thermodynamics of warped AdS${}_3$ black hole in the brick wall method
• Curvature squared action in four dimensional $N=2$ supergravity using the dilaton Weyl multiplet
• alpha'-corrections and heterotic black holes
• Holographic Renormalisation for the Spin-3 Theory and the (A)dS3/CFT2 correspondence
• AdS_3 backgrounds from 10D effective action of heterotic string theory
• Quantum entropy of supersymmetric black holes