Randall-Sundrum model with a dilaton field at finite temperature

Abstract

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 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(R 3 )/4G 5 . We demonstrate that in a certain limit the gauge dual of this theory effectively reduces to N = 4 SYM at finite temperature on S 1 × R 3 . arXiv:2001.00038v1 [hep-th]