Lattice formulation of 2D N=(2,2) SQCD based on the B model twist

We present a simple lattice formulation of two-dimensional N=(2,2) U(k) supersymmetric QCD (SQCD) with N matter multiplets in the fundamental representation. The construction uses compact gauge link variables and exactly preserves one linear combination of supercharges on the two-dimensional regular lattice. Artificial saddle points in the weak coupling limit and the species doubling are evaded without imposing the admissibility. A perturbative power-counting argument indicates that the target supersymmetric theory is realized in the continuum limit without any fine tuning.