Lattice study of two-dimensional N=(2,2) super Yang-Mills at large-N

Abstract

We study two-dimensional N=(2,2) SU(N) super Yang-Mills theory on Euclidean two-torus using Sugino's lattice regularization. We perform the Monte-Carlo simulation for N=2,3,4,5 and then extrapolate the result to N = infinity. With the periodic boundary conditions for the fermions along both circles, we establish the existence of a bound state in which scalar fields clump around the origin, in spite of the existence of a classical flat direction. In this phase the global (Z_N)^2 symmetry turns out to be broken. We provide a simple explanation for this fact and discuss its physical implications.

24 pages, 13 figures

References in corpus (27)

• Center-stabilized Yang-Mills theory: confinement and large $N$ volume independence
• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Volume independence in large Nc QCD-like gauge theories
• Black hole thermodynamics from simulations of lattice Yang-Mills theory
• Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics
• Non-lattice simulation for supersymmetric gauge theories in one dimension
• Schwarzschild radius from Monte Carlo calculation of the Wilson loop in supersymmetric matrix quantum mechanics
• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• N=4 Super Yang-Mills from the Plane Wave Matrix Model
• Towards lattice simulation of the gauge theory duals to black holes and hot strings
• Deconfinement phase transition in N=4 super Yang-Mills theory on RxS^3 from supersymmetric matrix quantum mechanics
• Restoration of supersymmetry on the lattice: Two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory
• Observing dynamical supersymmetry breaking with euclidean lattice simulations
• Symmetry Breaking In Twisted Eguchi-Kawai Models
• Phase structure of matrix quantum mechanics at finite temperature
• Euclidean lattice simulation for the dynamical supersymmetry breaking
• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
• Phase structure of twisted Eguchi-Kawai model
• Breakdown of large-N quenched reduction in SU(N) lattice gauge theories
• First results from simulations of supersymmetric lattices
• On the shape of a D-brane bound state and its topology change
• Large-N volume reduction of lattice QCD with adjoint Wilson fermions at weak-coupling
• Some physics of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory: Lattice Monte Carlo study
• Cascade of Gregory-Laflamme Transitions and U(1) Breakdown in Super Yang-Mills
• Two-dimensional N=(2,2) super Yang-Mills theory on computer
• On Matrix Model Formulations of Noncommutative Yang-Mills Theories
• Vacuum energy of two-dimensional N=(2,2) super Yang-Mills theory

Cited by in corpus (14)

• Large-N reduction in QCD-like theories with massive adjoint fermions
• Large N reduction for Chern-Simons theory on S^3
• Lattice studies of supersymmetric gauge theories
• Topologically Twisted $N=(2,2)$ Supersymmetric Yang-Mills Theory on Arbitrary Discretized Riemann Surface
• Anomaly and Sign problem in $\mathcal{N}=(2,2)$ SYM on Polyhedra : Numerical Analysis
• Two-dimensional $\mathcal{N}=(2,2)$ Lattice Gauge Theories with Matter in Higher Representations
• Exact Results in Discretized Gauge Theories
• Supersymmetric Gauge Theory on the Graph
• Large-$N$ limit of two-dimensional Yang--Mills theory with four supercharges
• A new large-N limit and the planar equivalence outside the planar limit
• Numerical approach to SUSY quantum mechanics and the gauge/gravity duality
• Novel first-order phase transition and critical points in SU(3) Yang-Mills theory with spatial compactification
• 2D discrete Yang-Mills equations on the torus
• Nonperturbative phase diagram of two-dimensional $\mathcal{N}=(2,2)$ super-Yang--Mills