For a large class of holographic confining gauge theories far from conformality, the maximum supercooling equals half the squared speed of sound at the critical temperature, up to 1/D corrections.
Randall-Sundrum Model with a Dilaton Field at Finite Temperature
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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 $S<\text{Vol}(\mathbb{R}^3)/4G_5$. We demonstrate that in a certain limit the gauge dual of this theory effectively reduces to $\mathcal{N}=4$ SYM at finite temperature on $S^1\times\mathbb{R}^3$
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Localised Horizons and Holographic Thermodynamics: Supercooling in the 1/D Expansion
For a large class of holographic confining gauge theories far from conformality, the maximum supercooling equals half the squared speed of sound at the critical temperature, up to 1/D corrections.