Ads(3)/CFT(2) to Ads(2)/CFT(1)

TL;DR

This paper tests the quantum entropy of supersymmetric extremal BTZ black holes against dual superconformal field theory predictions, finding agreement and suggesting a pathway to derive the OSV conjecture.

Contribution

It provides evidence that the quantum Wald entropy matches the dual CFT state degeneracy for extremal BTZ black holes, supporting the holographic entropy proposal.

Findings

Quantum Wald entropy agrees with dual CFT degeneracy.

Supports the holographic interpretation of black hole entropy.

Suggests a route to deriving the OSV conjecture.

Abstract

It has been suggested that the quantum generalization of the Wald entropy for an extremal black hole is the logarithm of the ground state degeneracy of a dual quantum mechanics in a fixed charge sector. We test this proposal for supersymmetric extremal BTZ black holes for which there is an independent definition of the quantum entropy as the logarithm of the degeneracy of appropriate states in the dual 1+1 dimensional superconformal field theory. We find that the two proposals agree. This analysis also suggests a possible route to deriving the OSV conjecture.