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arXiv · 2104.10710

Lifshitz hydrodynamics at generic $z$ from a moving black brane

Aruna Rajagopal·Larus Thorlacius
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Abstract

A Lifshitz black brane at generic dynamical critical exponent $z > 1$, with non-zero linear momentum along the boundary, provides a holographic dual description of a non-equilibrium steady state in a quantum critical fluid, with Lifshitz scale invariance but without boost symmetry. We consider moving Lifshitz branes in Einstein-Maxwell-Dilaton gravity and obtain the non-relativistic stress tensor complex of the dual field theory via a suitable holographic renormalisation procedure. The resulting black brane hydrodynamics and thermodynamics are a concrete holographic realization of a Lifshitz perfect fluid with a generic dynamical critical exponent.

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Aruna Rajagopal, Larus Thorlacius. 2021-04-21. Lifshitz hydrodynamics at generic $z$ from a moving black brane. https://doi.org/10.1007/jhep07(2021)197

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