Geometric entropy and third order phase transition in d=4 N=2 SYM with flavor

TL;DR

This paper investigates the phase structure of four-dimensional N=2 supersymmetric Yang-Mills theory with flavor, revealing a third order phase transition at finite density using geometric entropy as an order parameter.

Contribution

It introduces geometric entropy as a novel order parameter to identify phase transitions in N=2 SYM with flavor at finite density.

Findings

Identifies a third order phase transition at finite density.

Shows geometric entropy behavior at low temperature and large N_f.

Demonstrates the utility of geometric entropy in phase structure analysis.

Abstract

We analyze the phase structure of $d=4$ $\mathcal{N}=2$ large $N$ SYM theory with flavor on $S^1\times S^3$ by using geometric entropy as an order parameter. We introduce chemical potential conjugate to global U(1) symmetry and find the third order phase transition at finite density by using the geometric entropy as the order parameter. We also find that the geometric entropy at the finite density has an interesting behavior at low temperature and for large $N_f$.