# Universal Behaviors of Speed of Sound from Holography

## TL;DR

This paper explores universal behaviors of the speed of sound in field theories using holography, revealing new limiting values at different temperature and chemical potential regimes.

## Contribution

It uncovers two additional universal limits of the speed of sound in holographic models beyond the well-known conformal limit.

## Key findings

- Speed of sound approaches (d-1)/16π at low temperature.
- Speed of sound approaches (d-1)/16πd at high chemical potential.
- Identifies universal behaviors in various thermodynamic limits.

## Abstract

We investigate the speed of sound in $(d+1)$-dimensional field theory by studying its dual $(d+2)$-dimensional gravity theory from gauge/gravity correspondence. Instead of the well known conformal limit $c_s^2 \rightarrow 1/d$ at high temperature, we reveal two more universal quantities in various limits: $c_s^2 \rightarrow (d-1)/16\pi$ at low temperature and $c_s^2 \rightarrow (d-1)/16\pi d$ at large chemical potential.