Dissecting holographic conductivities

Richard A. Davison, Blaise Goutéraux

Research output: Contribution to journalArticle

65 Citations (Scopus)

Abstract

The DC thermoelectric conductivities of holographic systems in which translational symmetry is broken can be efficiently computed in terms of the near-horizon data of the dual black hole. By calculating the frequency dependent conductivities to the first subleading order in the momentum relaxation rate, we give a physical explanation for these conductivities in the simplest such example, in the limit of slow momentum relaxation. Specifically, we decompose each conductivity into the sum of a coherent contribution due to momentum relaxation and an incoherent contribution, due to intrinsic current relaxation. This decomposition is different from those previously proposed, and is consistent with the known hydrodynamic properties in the translationally invariant limit. This is the first step towards constructing a consistent theory of charged hydrodynamics with slow momentum relaxation.

Original languageEnglish
Article number90
JournalJournal of High Energy Physics
Volume2015
Issue number9
DOIs
Publication statusPublished - 29 Sep 2015

Keywords

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

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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