The Lifshitz black branes and DC transport coefficients in massive Einstein-Maxwell-dilaton gravity

TL;DR

This paper constructs analytical Lifshitz black brane solutions in a massive Einstein-Maxwell-dilaton gravity framework and computes the dual field theory's finite DC transport coefficients, revealing a violation of the Wiedemann-Franz law.

Contribution

It introduces a novel model supporting Lifshitz black branes with $z eq 1$ and analytically calculates the associated DC transport coefficients in the dual theory.

Findings

DC transport coefficients are finite due to the massive term.

The model supports Lifshitz black branes with dynamical exponent $z eq 1$.

The Wiedemann-Franz law is violated, suggesting strong interactions.

Abstract

We construct analytical Lifshitz massive black brane solutions in massive Einstein-Maxwell-dilaton gravity theory. We also study the thermodynamics of these black brane solutions and obtain the thermodynamical stability conditions. On the dual nonrelativistic boundary field theory with Lifshitz symmetry, we analytically compute the DC transport coefficients, including the electric conductivity, thermoelectric conductivity, and thermal conductivity. The novel property of our model is that the massive term supports the Lifshitz black brane solutions with $z\neq 1$ in such a way that the DC transport coefficients in the dual field theory are finite. We also find that the Wiedemann-Franz law in this dual boundary field theory is violated, which indicates that it may involve strong interactions.