Black holes in five-dimensional gauged supergravity with higher derivatives

Details Black holes in five-dimensional gauged supergravity with higher derivatives Black holes in five-dimensional gauged supergravity with higher derivatives

2008-12-18

arxiv.org/abs/0812.3572v3

Physics

High Energy Physics

High Energy Physics - Theory

34 pages. Typos fixed, some comments and references added

Scientific paper

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.

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