AdS/CFT Correspondence with Heat Conduction

TL;DR

This paper extends the gravity dual of a perfect fluid in AdS/CFT by introducing off-diagonal metric components and an R-charge, demonstrating how these lead to heat conduction in the boundary conformal field theory.

Contribution

It presents a novel extension of the gravity dual model by relaxing symmetry constraints and incorporating R-charge, revealing heat conduction mechanisms.

Findings

Off-diagonal metric components induce heat conduction.

Inclusion of R-charge affects the dual field theory dynamics.

Solutions to Maxwell-Einstein equations support the heat conduction interpretation.

Abstract

We study an extension of the gravity dual to a perfect fluid model found by Janik and Peschanski. By relaxing one of the constraints, namely invariance under reflection in the longitudinal direction, we introduce a metric ansatz which includes off-diagonal terms. We also include an $R$-charge following Bak and Janik. We solve the Maxwell-Einstein equations and through holographic renormalization, we show that the off-diagonal components of the bulk metric give rise to heat conduction in the corresponding CFT on the boundary.