More on entropy function formalism for non-extremal branes

TL;DR

This paper computes R^4 corrections to non-extremal D1D5P supergravity solutions using differential equations and entropy formalism, confirming consistent entropy corrections through two methods.

Contribution

It provides the first exact R^4 correction to non-extremal D1D5P solutions and verifies entropy corrections via independent approaches.

Findings

R^4 correction matches in supergravity and entropy formalism

Entropy corrections are consistent across methods

Enhances understanding of quantum corrections in non-extremal branes

Abstract

We find R^4 correction to the non-extremal D1D5P solution of the supergravity by exactly solving the differential equations of motion and by using the entropy function formalism. In both cases, we find the same correction to the supergravity solution. We then calculate the correction to the entropy using the free energy method and the entropy function formalism. The results are the same.