String Corrections to the Hawking-Page Phase Transition

TL;DR

This paper calculates higher-order string theory corrections to the AdS_5 black hole metric, revealing their effects on the free energy and critical temperature of the Hawking-Page phase transition with a finite black hole radius.

Contribution

It provides the first computation of O(alpha'^3) corrections to the AdS_5 black hole metric with finite radius, extending previous work that assumed infinite radius.

Findings

Corrections modify the free energy of the black hole.

Critical temperature of the phase transition is affected by the corrections.

Finite radius boundary topology is explicitly considered.

Abstract

We compute the O(alpha'^3) corrections to the AdS_5 Black hole metric in type IIB string theory. Contrary to previous work in this direction we keep the Black Hole radius finite. Thus the topology of the boundary is S^3 x S^1. We find the corrections to the free energy and the critical temperature of the phase transition.