# Holography at QCD-$T_{\rm c}$

## TL;DR

This paper uses an extended soft wall holographic model to investigate how the lowest vector meson states, like the rho meson, change with temperature around the QCD critical temperature, revealing their melting behavior.

## Contribution

It introduces a temperature-dependent holographic model calibrated with lattice QCD data to study vector meson melting near the QCD phase transition.

## Key findings

- Rho meson melts at temperatures around T_c
- Model aligns with lattice QCD sound velocity data
- Provides insights into meson behavior at finite temperature

## Abstract

Within an extended soft wall model, we study the temperature dependence of the lowest vector meson states. Scales are adjusted by using as input the $\rho$ meson mass in vacuum and the velocity of sound from lattice QCD which displays a minimum at $T_{\rm c}$. The melting of the $\rho$ meson occurs at temperatures $\mathcal{O}(T_{\rm c})$.