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

Understand

We present a lattice formulation for two-dimensional N=(2,2) and (4,4) supersymmetric Yang-Mills theories that resolves vacuum degeneracy for gauge fields without imposing admissibility conditions.

• Cases of U(N) and SU(N) gauge groups are considered, gauge fields are expressed by unitary link variables, and one or two supercharges are preserved on the two-dimensional square lattice.
• There does not appear fermion doubler, and no fine-tuning is required to obtain the desired continuum theories in a perturbative argument.
• This formulation is expected to serve as a more convenient basis for numerical simulations.