Lattice formulation of two-dimensional N=(2,2) super Yang-Mills with SU(N) gauge group

Abstract

We propose a lattice model for two-dimensional SU(N) N=(2,2) super Yang-Mills model. We start from the CKKU model for this system, which is valid only for U(N) gauge group. We give a reduction of U(1) part keeping a part of supersymmetry. In order to suppress artifact vacua, we use an admissibility condition.

16 pages, 3 figures; v2: typo crrected; v3: 18 pages, a version to appear in JHEP

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• Lattice Formulation for 2d N=(2,2), (4,4) Super Yang-Mills Theories without Admissibility Conditions
• Large-N reduction for N=2 quiver Chern-Simons theories on S^3 and localization in matrix models
• Fermion Actions extracted from Lattice Super Yang-Mills Theories
• Anomaly and Sign problem in $\mathcal{N}=(2,2)$ SYM on Polyhedra : Numerical Analysis
• O(a) Improvement of 2D N=(2,2) Lattice SYM Theory
• An anisotropic hybrid non-perturbative formulation for 4D N = 2 supersymmetric Yang-Mills theories
• On the removal of the trace mode in lattice $\mathcal{N}=4$ super Yang-Mills theory