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Black holes in five-dimensional gauged supergravity with higher derivatives

Sera Cremonini, Kentaro Hanaki, James T. Liu and Phillip Szepietowski

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We examine five-dimensional Script N = 2 gauged supergravity including terms up to four derivatives. These additional terms correspond to the supersymmetric completion of R2, 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.

Keywords

1/N Expansion

Anomalies in Field and String Theories

AdS-CFT and dS-CFT Correspondence

Black Holes in String Theory

PACS

04.65.+e Supergravity

05.70.Ce Thermodynamic functions and equations of state

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

Subjects

Gravitation and cosmology

Statistical physics and nonlinear systems

Dates

Issue 12 (December 2009)

Received 17 November 2009, accepted for publication 25 November 2009

Published 14 December 2009



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