Type 0A 2D Black Hole Thermodynamics and the Deformed Matrix Model

TL;DR

This paper explores the thermodynamics of two-dimensional type 0A black holes, showing that the deformed matrix model's free energy aligns with extremal cases and discussing its potential to describe non-extremal black hole thermodynamics.

Contribution

It demonstrates the agreement of the deformed matrix model's free energy with extremal black holes and discusses its applicability to non-extremal black hole thermodynamics.

Findings

Deformed matrix model's free energy matches extremal black hole thermodynamics.

Leading order in 1/q shows agreement between model and black hole free energy.

Speculation on the model's ability to describe non-extremal black holes.

Abstract

Recently, it has been proposed that the deformed matrix model describes a two-dimensional type 0A extremal black hole. In this paper, the thermodynamics of 0A charged non-extremal black holes is investigated. We observe that the free energy of the deformed matrix model to leading order in 1/q can be seen to agree to that of the extremal black hole. We also speculate on how the deformed matrix model is able to describe the thermodynamics of non-extremal black holes.