Holography of electrically and magnetically charged black branes

TL;DR

This paper constructs new black brane solutions in Einstein-Maxwell-dilaton theory, analyzing their ground states, thermodynamic properties, and transport coefficients, revealing behaviors like vanishing entropy density and linear-T resistivity in certain parameter regimes.

Contribution

It introduces a new class of black brane solutions characterized by parameters a and b, and provides detailed analysis of their thermodynamic and transport properties, including magnetic solutions via EM duality.

Findings

Ground states often exhibit vanishing entropy density at zero temperature.

Linear-T resistivity observed for a specific parameter case (a^2=1/3).

Magnetically charged black branes constructed analytically for a=1.

Abstract

We construct a new class of black brane solutions in Einstein-Maxwell-dilaton (EMD) theory, which is characterized by two parameters $a,b$. Based on the obtained solutions, we make detailed analysis on the ground state in zero temperature limit and find that for many cases it exhibits the behavior of vanishing entropy density. We also find that the linear-T resistivity can be realized in a large region of temperature for the specific case of $a^2=1/3$, which is the Gubser-Rocha model dual to a ground state with vanishing entropy density. Moreover, for $a=1$ we analytically construct the black brane which is magnetically charged by virtue of the electric-magnetic (EM) duality. Various transport coefficients are calculated and their temperature dependence are obtained in the high temperature region.