Analytic DC thermo-electric conductivities in holography with massive gravitons

TL;DR

This paper derives analytical expressions for thermo-electric conductivities in a holographic model with explicit graviton mass, confirming previous numerical results and advancing understanding of momentum dissipation in gauge/gravity duality.

Contribution

It provides the first analytical derivation of thermo-electric conductivities in a holographic model with massive gravitons, clarifying the role of momentum dissipation.

Findings

Analytical formulas for thermo-electric conductivities with massive gravitons.

Confirmation of previous numerical results.

Enhanced understanding of momentum dissipation mechanisms.

Abstract

We provide an analytical derivation of the thermo-electric transport coefficients of the simplest momentum-dissipating model in gauge/gravity where the lack of momentum conservation is realized by means of explicit graviton mass in the bulk. We rely on the procedure recently described by Donos and Gauntlett in the context of Q-lattices and holographic models where momentum dissipation is realized through non-trivial scalars. The analytical approach confirms the results found previously by means of numerical computations.