Black holes in five-dimensional gauged supergravity with higher derivatives

TL;DR

This paper studies five-dimensional gauged supergravity with four-derivative corrections, constructs charged AdS black holes, and explores how these corrections influence their thermodynamics and microscopic entropy via holographic anomaly matching.

Contribution

It provides the on-shell action for supergravity with four-derivative terms and relates geometric coefficients to gauge theory data, enabling microscopic entropy calculations.

Findings

Four-derivative corrections affect black hole thermodynamics.

Constructed R-charged AdS black holes with these corrections.

Connected geometric coefficients to gauge theory via anomaly matching.

Abstract

We examine five-dimensional $\mathcal N=2$ gauged supergravity including terms up to four derivatives. These additional terms correspond to the supersymmetric completion of $R^2$, and were originally obtained in hep-th/0611329 using conformal supergravity techniques. Here we integrate out the auxiliary fields and obtain the on-shell action for minimal supergravity with such corrections. We then construct $R$-charged AdS black holes to linear order in the four derivative terms and investigate the effect of these corrections on their thermodynamical properties. Finally, we relate the geometrical coefficients governing the four-derivative corrections to gauge theory data using holographic anomaly matching. This enables us to obtain a microscopic expression for the entropy of the solutions.