Fluid/gravity correspondence, local Wald entropy current and gravitational anomaly

Shira Chapman, Yasha Neiman, Yaron Oz

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

Abstract

We propose, in the framework of the fluid/gravity correspondence, a definition for a local horizon entropy current for higher-curvature gravitational theories. The current is well-defined to first order in fluid gradients for general gravity actions with an algebraic dependence on the Riemann tensor. As a detailed example, we consider five-dimensional Einstein-Maxwell theory with a mixed gauge-gravitational Chern-Simons term. In this theory, we construct the proposed entropy current on a charged black-brane background, and show that it has a non-negative divergence. Moreover, a complete correspondence between the charged black-brane horizon's dynamics and the hydrodynamics of an anomalous four-dimensional field theory is established. Our proposed entropy current is then found to coincide with the entropy current of the anomalous field theory fluid.

Original languageEnglish
Article number128
JournalJournal of High Energy Physics
Volume2012
Issue number7
DOIs
StatePublished - 6 Aug 2012
Externally publishedYes

Keywords

  • Anomalies in field and string theories
  • Black holes
  • Gauge-gravity correspondence

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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