We find exact finite temperature solutions to d=5 Einstein-dilaton gravity with black branes and a Randall-Sundrum 3-brane. We show that there exists a unique generating superpotential for these models. The location of the black brane and the associated Hawking temperature depend on the value of the 3-brane tension, while other parameters are held fixed. The thermodynamics of these solutions are presented, from which we show that the entropy satisfies S<Vol(R3)/4G5. We demonstrate that in a certain limit the gauge dual of this theory effectively reduces to N=4 Super Yang-Mills at finite temperature on S1×R3.
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We thank T. Gherghetta for comments on the manuscript. This work was supported by the U.S. DOE Grant No. DE-FG02-87ER40328. A. D. is supported by the National Science Foundation Graduate Research Fellowship Program under Grant No. 00039202. C. P. acknowledges support from the CLASH project (Project No. KAW 2017-0036).