Two-dimensional Black Holes in a Higher Derivative Gravity and Matrix Model

TL;DR

This paper constructs charged black hole solutions in higher derivative type 0A string theory, analyzes their thermodynamics, and supports the duality with the 0A matrix model by showing no leading corrections in free energy at large charge.

Contribution

It provides a perturbative construction of charged black holes with higher derivative corrections and demonstrates the exactness of the free energy in the dual matrix model at large charge.

Findings

No correction in the leading term of free energy at large charge

Smooth interpolation between AdS_2 and linear dilaton geometries

Supports duality between extremal black holes and 0A matrix model

Abstract

We construct perturbatively a class of charged black hole solutions in type 0A string theory with higher derivative terms. They have extremal limit, where the solution interpolates smoothly between near horizon AdS_2 geometry and the asymptotic linear dilaton geometry. We compute the free energy and the entropy of those solution using various methods. In particular, we show that there is no correction in the leading term of the free energy in the large charge limit. This supports the duality of the type 0A strings on the extremal black hole and the 0A matrix model in which the tree level free energy is exact without any alpha' corrections.