Higher derivative corrections to R-charged AdS_5 black holes and field redefinitions

TL;DR

This paper investigates four-derivative corrections in five-dimensional N=2 gauged supergravity, focusing on R-charged AdS_5 black holes, and explores how these solutions change under field redefinitions.

Contribution

It constructs higher-derivative corrections to R-charged AdS_5 black holes and analyzes their behavior under field redefinitions, advancing understanding of quantum corrections in supergravity.

Findings

Derived linear-order corrections to black hole solutions.

Demonstrated invariance of physical solutions under field redefinitions.

Enhanced understanding of higher-derivative effects in supergravity theories.

Abstract

We consider four-derivative corrections to the bosonic sector of five-dimensional N=2 gauged supergravity. Since this theory includes the N=2 graviphoton, we consider both curvature and graviphoton field-strength terms that show up at the four-derivative level. We construct, to linear order, the higher-derivative corrections to the non-rotating R-charged AdS_5 black hole and demonstrate how this solution transforms under field redefinitions.