Phase transitions in 5D super Yang-Mills theory

Abstract

In this paper we study a phase structure of $5D$ $\mathcal{N}=1$ super Yang-Mills theory with massive matter multiplets and $SU(N)$ gauge group. In particular, we are interested in two cases: theory with $N_f$ massive hypermultiplets in the fundamental representation and theory with one adjoint massive hypermultiplet. If these theories are considered on $S^5$ their partition functions can be localized to matrix integrals, which can be approximated by their values at saddle points in the large-$N$ limit. We solve saddle point equations corresponding to the decompactification limit of both theories. We find that in the case of the fundamental hypermultiplets theory experiences third-order phase transition when coupling is varied. We also show that in the case of one adjoint hypermultiplet theory experiences infinite chain of third-order phase transitions, while interpolating between weak and strong coupling regimes.

arXiv comment49 pages, 17 figures

References in corpus (17)

• Multi-Matrix Models and Tri-Sasaki Einstein Spaces
• The perturbative partition function of supersymmetric 5D Yang-Mills theory with matter on the five-sphere
• 5d quivers and their AdS(6) duals
• The gravity dual of supersymmetric gauge theories on a squashed three-sphere
• $N^3$-behavior from 5D Yang-Mills theory
• Perturbative partition function for a squashed S^5
• Rigorous Test of Non-conformal Holography: Wilson Loops in N=2* Theory
• Evidence for Large-N Phase Transitions in N=2* Theory
• Supersymmetric theories on squashed five-sphere
• Supersymmetric gauge theories on squashed five-spheres and their gravity duals
• N=2* Super-Yang-Mills Theory at Strong Coupling
• Wilson loops in Five-Dimensional Super-Yang-Mills
• Factorization of 5D super Yang-Mills on $Y^{p,q}$ spaces
• Strong-Coupling Phases of Planar N=2* Super-Yang-Mills Theory
• Supersymmetric $U(N)$ Chern-Simons-matter theory and phase transitions
• Exact results for five-dimensional superconformal field theories with gravity duals
• Phases of planar 5-dimensional supersymmetric Chern-Simons theory