Duality in the BTZ Black Hole and the Statistical Entropy

TL;DR

This paper examines how T-duality affects the asymptotic conditions used in Strominger's approach to calculating the statistical entropy of BTZ black holes, suggesting a need for reformulation.

Contribution

It reveals that T-duality does not preserve the asymptotic conditions in the entropy calculation framework, prompting a reconsideration of the method.

Findings

T-duality alters asymptotic conditions

Implications for entropy calculation reformulation

Challenges in applying dualities to black hole entropy

Abstract

In Strominger's proposal for the computation of the statistical entropy of black holes based on the asymptotic symmetry analysis of Brown and Henneaux a fundamental role is played by the asymptotic conditions that the considered metric must satisfy at infinity. Here it is shown that $T$-duality does not preserve such conditions. This observation is used to discuss a possible reformulation of the proposal.