Thermodynamical Analogy Between BTZ Black Holes and Effective String Theory

TL;DR

This paper explores the thermodynamic properties of BTZ black holes, revealing a similarity to string theory's right and left movers, and shows that the black hole temperature is the harmonic mean of two associated system temperatures.

Contribution

It introduces a thermodynamic analogy between BTZ black holes and effective string theory, highlighting the relation between black hole horizons and string theory components.

Findings

The two thermodynamic systems resemble right and left movers in string theory.

The black hole temperature equals the harmonic mean of the two system temperatures.

The first law of thermodynamics applies to these horizon-based systems.

Abstract

In this paper we study the first law of thermodynamics for the (2+1) dimensional BTZ rotating black hole considering a pair of thermodinamical systems constructed with the two horizons of this solution. We show that these two systems are similar to the right and left movers of string theory and that the temperature associated with the black hole is the harmonic mean of the temperatures associated with these two systems.