Large N phase transitions in supersymmetric Chern-Simons theory with massive matter

Abstract

We study three-dimensional {\cal N}=2 U(N) Chern-Simons theory on S^3 coupled to 2N_f chiral multiplets deformed by mass terms. The partition function localizes to a matrix integral, which can be exactly computed in the large N limit. In a specific decompactification limit, the theory exhibits quantum (third-order) phase transitions at finite critical values of the coupling. The theory presents three phases when 0 < N_f < N and two phases when N_f\geq N. The vacuum expectation value of the supersymmetric circular Wilson loop has a discontinuity in the first derivative.

15 pages, 6 figures. V2: new equation for Wilson loop added

References in corpus (3)

• SU(N) gauge theories at large N
• Les Houches lectures on matrix models and topological strings
• A Study of U(N) Lattice Gauge Theory in 2-dimensions

Cited by in corpus (16)

• N=2* Super-Yang-Mills Theory at Strong Coupling
• How to resum perturbative series in 3d N=2 Chern-Simons matter theories
• Strong-Coupling Phases of Planar N=2* Super-Yang-Mills Theory
• Quantum Phase Transitions in Mass-Deformed ABJM Matrix Model
• Supersymmetric $U(N)$ Chern-Simons-matter theory and phase transitions
• ABJM Theory with mass and FI deformations and Quantum Phase Transitions
• Phases of planar 5-dimensional supersymmetric Chern-Simons theory
• Phases of five-dimensional supersymmetric gauge theories
• Phase transitions and Wilson loops in antisymmetric representations in Chern-Simons-matter theory
• Exact partition function in $U(2)\times U(2)$ ABJM theory deformed by mass and Fayet-Iliopoulos terms
• Exact solution of Chern-Simons-matter matrix models with characteristic/orthogonal polynomials
• Mordell integrals and Giveon-Kutasov duality
• More Large $N$ limits of 3d gauge theories
• Phase structure of $\mathcal{N}=2^{\ast }$ SYM on ellipsoids
• Aspects of Massive Gauge Theories on Three Sphere in Infinite Mass Limit
• Large $N$ limits of supersymmetric quantum field theories: A pedagogical overview