On Black Hole Thermodynamics of 2-D Type 0A

TL;DR

This paper analyzes the thermodynamics of two-dimensional type 0A black holes with electric and magnetic flux, revealing unique properties like non-zero free energy and flux-dependent entropy, and compares results with matrix model duals.

Contribution

It provides a detailed thermodynamic analysis of 2D type 0A black holes with fluxes, including free energy, entropy, and mass, and explores their dual matrix models.

Findings

Free energy is non-zero for these black holes.

Entropy of extremal black holes scales with flux squared.

Thermodynamics results are compared with matrix model duals.

Abstract

We present a detailed analysis of the thermodynamics of two dimensional black hole solutions to type 0A with q units of electric and magnetic flux. We compute the free energy and derived quantities such as entropy and mass for an arbitrary non-extremal black hole. The free energy is non-vanishing, in contrast to the case of dilatonic 2-d black holes without electric and magnetic fluxes. The entropy of the extremal black holes is obtained, and we find it to be proportional to q^2, the square of the RR flux. We compare these thermodynamics quantities with those from candidate matrix model duals.