Phase transitions of an anisotropic N=4 super Yang-Mills plasma via holography

Elliot Banks

doi:10.1007/jhep07(2016)085

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arXiv · 1604.03552

Phase transitions of an anisotropic N=4 super Yang-Mills plasma via holography

Elliot Banks

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Abstract

Black hole solutions of type IIB supergravity were previously found that are dual to N=4 supersymmetric Yang-Mills plasma with an anisotropic spatial deformation. In the zero temperature limit, these black holes approach a Liftshitz like scaling solution in the IR. It was recently shown that these black holes are unstable, and at low temperatures there is a new class of black hole solutions that are thermodynamically preferred. We extend this analysis, by considering consistent truncations of the Kaluza-Klein reduction of IIB supergravity on a five-sphere that preserves multiple scalar and $U(1)$ gauge fields. We show that the previously constructed black holes become unstable at low temperatures, and construct new classes of exotic black hole solutions. We study the DC thermo-electric conductivity of these $U(1)$ charged black holes, and find a diverging DC conductivity at zero temperature due to the divergence of the gauge field coupling.

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Elliot Banks. 2016-04-12. Phase transitions of an anisotropic N=4 super Yang-Mills plasma via holography. https://doi.org/10.1007/jhep07(2016)085

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