I explain a lattice formulation of supersymmetric gauge theories with preserving some of supercharges on the lattice, which is based on a procedure of topological twist. The continuum theories with full supersymmetry are obtained in the continuum limit by fine-tuning if necessary.
In particular, no tuning is required to restore the full supersymmetry in two-dimensional case. I discuss on the structure of the lattice theories for two-dimensional N=(2,2) supersymmetric Yang-Mills and supersymmetric QCD.
