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We present a lattice formulation for two-dimensional N=(2,2) and (4,4)supersymmetric Yang-Mills theories that resolves vacuum degeneracy for gaugefields without imposing admissibility conditions. Cases of U(N) and SU(N) gaugegroups are considered, gauge fields are expressed by unitary link variables,and one or two supercharges are preserved on the two-dimensional squarelattice. There does not appear fermion doubler, and no fine-tuning is requiredto obtain the desired continuum theories in a perturbative argument. Thisformulation is expected to serve as a more convenient basis for numericalsimulations. The same approach will also be useful to other two-dimensionalsupersymmetric lattice gauge theories with unitary link variables constructedso far -- for example, N=(8,8) supersymmetric Yang-Mills theory and N=(2,2)supersymmetric QCD.

Lattice Formulation for 2d N=(2,2), (4,4) Super Yang-Mills Theories without Admissibility Conditions