Duality of Quasilocal Black Hole Thermodynamics

TL;DR

This paper explores how T-duality affects the thermodynamics of three-dimensional black holes, showing that certain thermodynamic properties remain invariant under duality transformations.

Contribution

It explicitly calculates quasilocal thermodynamic variables for axisymmetric black holes and their duals, clarifying the invariance of black hole entropy under T-duality.

Findings

Thermodynamic variables are explicitly computed for black holes and their duals.

Black hole entropy remains invariant under T-duality transformations.

The dual invariance of entropy is interpreted via Euclidean path integral formulation.

Abstract

We consider T-duality of the quasilocal black hole thermodynamics for the three-dimensional low energy effective string theory. Quasilocal thermodynamic variables in the first law are explicitly calculated on a general axisymmetric three-dimensional black hole solution and corresponding dual one. Physical meaning of the dual invariance of the black hole entropy is considered in terms of the Euclidean path integral formulation.