Entropy of Three-Charge Black Holes on a Circle

TL;DR

This paper analyzes the thermodynamics and entropy corrections of five-dimensional three-charge black holes on a circle, providing new insights into their microscopic entropy and the effects of interactions across the circle.

Contribution

It presents the first computation of metric and thermodynamic corrections for localized three-charge black holes on a circle in the small mass limit, including near-extremal and partial extremal cases.

Findings

Corrections to the black hole entropy match microscopic predictions.

First explicit metric corrections for localized black holes on a circle.

Interactions across the circle influence the brane count and entropy.

Abstract

We study phases of five-dimensional three-charge black holes with a circle in their transverse space. In particular, when the black hole is localized on the circle we compute the corrections to the metric and corresponding thermodynamics in the limit of small mass. When taking the near-extremal limit, this gives the corrections to the finite entropy of the extremal three-charge black hole as a function of the energy above extremality. For the partial extremal limit with two charges sent to infinity and one finite we show that the first correction to the entropy is in agreement with the microscopic entropy by taking into account that the number of branes shift as a consequence of the interactions across the transverse circle.