Notes on Properties of Holographic Matter

TL;DR

This paper investigates the low-temperature properties of holographic matter using probe branes with electric flux, revealing universal behaviors in specific heat and conductivity across different dimensions.

Contribution

It identifies dimension-independent low-temperature behaviors of specific heat and DC conductivity in holographic models with probe branes.

Findings

Specific heat is independent of probe brane dimension at low temperatures.

DC conductivity exhibits universal low-temperature behavior.

Speed of sound and conductivity dependence on temperature are discussed.

Abstract

Probe branes with finite worldvolume electric flux in the background created by a stack of Dp branes describe holographically strongly interacting fundamental matter at finite density. We identify two quantities whose leading low temperature behavior is independent of the dimensionality of the probe branes: specific heat and DC conductivity. This behavior can be inferred from the dynamics of the fundamental strings which provide a good description of the probe branes in the regime of low temperatures and finite densities. We also comment on the speed of sound on the branes and the temperature dependence of DC conductivity at vanishing charge density.