Holographic conductivity from Einstein-Maxwell-Dilaton in Gauss-Bonnet gravity and Entropy Function

TL;DR

This paper analytically derives holographic DC and Hall conductivities in Einstein-Maxwell-Dilaton-Gauss-Bonnet gravity with momentum dissipation, revealing independence from Gauss-Bonnet coupling and using entropy function formalism for general charge dependence.

Contribution

It introduces an analytical method to compute conductivities in complex gravity models without explicit solutions, highlighting their independence from Gauss-Bonnet coupling.

Findings

Conductivities are independent of Gauss-Bonnet coupling.

Entropy function formalism effectively computes conductivities.

Analytical expressions relate conductivities to black hole charge.

Abstract

In this paper we consider the holographic DC and Hall conductivity in Einstein-Maxwell-Dilaton in Gauss-Bonnet gravity with momentum dissipation. We analytically derived the DC conductivity and Hall conductivity from the black horizon data, and found that the conductivities are independent on the Gauss-Bonnet coupling. We also used the entropy function formalism to get the conductivities in terms of the charge of the black hole, even without knowing the explicit black hole solutions.