Momentum and charge transport in non-relativistic holographic fluids from Hořava gravity

Richard A. Davison, Sašo Grozdanov, Stefan Janiszewski, Matthias Kaminski

Research output: Contribution to journalArticle

10 Citations (Scopus)
6 Downloads (Pure)

Abstract

We study the linearized transport of transverse momentum and charge in a conjectured field theory dual to a black brane solution of Hořava gravity with Lifshitz exponent z = 1. As expected from general hydrodynamic reasoning, we find that both of these quantities are diffusive over distance and time scales larger than the inverse temperature. We compute the diffusion constants and conductivities of transverse momentum and charge, as well the ratio of shear viscosity to entropy density, and find that they differ from their relativistic counterparts. To derive these results, we propose how the holographic dictionary should be modified to deal with the multiple horizons and differing propagation speeds of bulk excitations in Hořava gravity. When possible, as a check on our methods and results, we use the covariant Einstein-Aether formulation of Hořava gravity, along with field redefinitions, to re-derive our results from a relativistic bulk theory.

Original languageEnglish
Article number170
JournalJournal of High Energy Physics
Volume2016
Issue number11
DOIs
Publication statusPublished - 28 Nov 2016

Keywords

  • AdS-CFT Correspondence
  • Effective field theories
  • Gauge-gravity correspondence
  • Holography and condensed matter physics (AdS/CMT)

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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