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

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 $N_f$.

21 pages, 12 figures; minor changes, a reference added

References in corpus (6)

• Phase Diagram of N=4 Super-Yang-Mills Theory with R-Symmetry Chemical Potentials
• Renormalized Polyakov Loop in the Deconfined Phase of SU(N) Gauge Theory and Gauge/String Duality
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Cited by in corpus (1)

• Holographic entanglement entropy of the double Wick rotated BTZ black hole