A Lattice Formulation of Two Dimensional Topological Field Theory

Understand

We propose a non-perturbative criterion to investigate whether supersymmetric lattice gauge theories preserving partial SUSY can have the desired continuum limit or not.

• Since the target continuum theories of the lattice models are extended supersymmetric gauge theories including the topological field theory (TFT) as a special subsector, the continuum limits of them should reproduce the properties of the TFT.
• Therefore, whether the property of the TFT can be recovered at the continuum limit becomes a non-perturbative criterion.
• Then we accept it as a criterion.