Lattice Formulation of Two-Dimensional N=(2,2) SQCD with Exact Supersymmetry

Abstract

We construct a lattice model for two-dimensional N=(2,2) supersymmetric QCD (SQCD), with the matter multiplets belonging to the fundamental or anti-fundamental representation of the gauge group U(N) or SU(N). The construction is based on the topological field theory (twisted supercharge) formulation and exactly preserves one supercharge along the line of the papers [1]--[4] for pure supersymmetric Yang-Mills theories. In order to avoid the species doublers of the matter multiplets, we introduce the Wilson terms and the model is defined for the case of the number of the fundamental matters (n_{+}) equal to that of the anti-fundamental matters (n_{-}). If some of the matter multiplets decouple from the theory by sending the corresponding anti-holomorphic twisted masses to the infinity, we can analyze the general n_{+}\neq n_{-} case, although the lattice model is defined for n_{+} =n_{-}. By computing the anomaly of the U(1)_A R-symmetry in the lattice perturbation, we see that the decoupling is achieved and the anomaly for n_{+}\neq n_{-} is correctly obtained.

39 pages, no figures, LaTeX, (v2) some explanation added, (v3) misprint in eq.(3.19) corrected, (v4) version to be published in Nucl. Phys. B, (v5) a typo in eq.(A.12) fixed

References in corpus (20)

• 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
• Deconstruction and other approaches to supersymmetric lattice field theories
• Observing dynamical supersymmetry breaking with euclidean lattice simulations
• Geometry of Orbifolded Supersymmetric Lattice Gauge Theories
• Classification of Supersymmetric Lattice Gauge Theories by Orbifolding
• Euclidean lattice simulation for the dynamical supersymmetry breaking
• Relationship between various supersymmetric lattice models
• A Critique of the Link Approach to Exact Lattice Supersymmetry
• Noncommutativity Approach to Supersymmetry on the Lattice: SUSY Quantum Mechanics and an Inconsistency
• Twisted supersymmetric sigma model on the lattice
• Lattice Supersymmetry: Equivalence between the Link Approach and Orbifolding
• Taming the Leibniz Rule on the Lattice
• Two-dimensional N=(2,2) Supersymmetric Lattice Gauge Theory with Matter Fields in the Fundamental Representation
• Relations among Supersymmetric Lattice Gauge Theories via Orbifolding
• Lattice Formulation of Two Dimensional Topological Field Theory
• Two-dimensional N=(2,2) super Yang-Mills theory on computer
• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
• Matrix formulation of superspace on 1D lattice with two supercharges
• On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super Yang-Mills

Cited by in corpus (12)

• 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
• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
• Lattice formulation of 2D $\mathcal{N}=(2,2)$ SQCD based on the B model twist
• A lattice study of N=2 Landau-Ginzburg model using a Nicolai map
• 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
• Supersymmetry restoration in lattice formulations of 2D $\mathcal{N}=(2,2)$ WZ model based on the Nicolai map
• Exact Results in Discretized Gauge Theories
• Supersymmetric Gauge Theory on the Graph
• Deformed matrix models, supersymmetric lattice twists and N=1/4 supersymmetry