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.