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

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Cited by in corpus (5)

• 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
• Deformed matrix models, supersymmetric lattice twists and N=1/4 supersymmetry