Holographic universal relations among transport coefficients

TL;DR

This paper establishes universal relations among transport coefficients in holographic models with various fields and backgrounds, providing new solutions and insights into transport phenomena in strongly coupled systems.

Contribution

It introduces universal relations among transport coefficients in holographic models with chemical potential and magnetic fields, including new hyperscale violating black hole solutions.

Findings

Universal relations among electrical, thermal, and thermo-electric conductivities.

Derivation of new hyperscale violating black hole solutions with finite charge and magnetic fields.

Applicability to arbitrary even-dimensional bulk spacetimes.

Abstract

In this paper, we show universal relations among the transport coefficients by calculating the electrical conductivity, thermal conductivity and thermo-electric conductivity in the presence of a chemical potential and magnetic fields for Einstein-Maxwell-dilaton-axion system in arbitrary but even dimensional bulk spacetime as well as for Einstein-DBI-dilaton-axion system in $3+1$ dimensional bulk spacetime. Moreover, we have also obtained a new hyperscale violating black hole solution with finite charge density and magnetic fields but with a trivial dilaton field at IR.