Ginsparg–Wilson formulation of 2D image SQCD with exact lattice supersymmetry Original Research Article

In this paper, we introduce the overlap Dirac operator, which satisfies the Ginsparg–Wilson relation, to the matter sector of two-dimensional image lattice supersymmetric QCD (SQCD) with preserving one of the supercharges. It realizes the exact chiral flavor symmetry on the lattice, to make possible to define the lattice action for general number of the flavors of fundamental and anti-fundamental matter multiplets and for general twisted masses. Furthermore, superpotential terms can be introduced with exact holomorphic or anti-holomorphic structure on the lattice. We also consider the lattice formulation of matter multiplets charged only under the central image (the overall image) of the gauge group image, and then construct lattice models for gauged linear sigma models with exactly preserving one supercharge and their chiral flavor symmetry.