# Study of phases in a holographic QCD model

## TL;DR

This paper uses the Witten-Sakai-Sugimoto holographic model to analyze phase structures of two-flavor Yang-Mills theory at finite temperature and chemical potential, identifying various brane configurations and phase transitions.

## Contribution

It provides a detailed study of phase configurations and transitions in a holographic QCD model with chemical potentials, extending understanding of phase behavior in such theories.

## Key findings

- Identification of various brane configurations and their corresponding phases.
- Analysis of phase transition possibilities between different phases.
- Insights into the phase structure of holographic QCD with chemical potentials.

## Abstract

Witten-Sakai-Sugimoto model is used to study two flavour Yang-Mills theory with large number of colours at finite temperature and in presence of chemical potential for baryon number and isospin. Sources for $U(1)_B$ and $U(1)_3$ gauge fields on the flavour 8-branes are D4-branes wrapped on $S^4$ part of the background. Here, gauge symmetry on the flavour branes has been decomposed as $U(2) \equiv U(1)_B \times SU(2)$ and $U(1)_3$ is within $SU(2)$ and generated by the diagonal generator. We show various brane configurations, along with the phases in the boundary theory they correspond to, and explore the possibility of phase transition between various pairs of phases.