出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：We propose a non-perturbative criterion to examine whether supersymmetric lattice gauge theories
with preserved supercharges 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 as a special subsector, the continuum limits of them should reproduce
the topological properties. Therefore, whether the topological quantities can be recovered at the
continuum limit becomes a non-perturbative criterion. Then we propose it as the criterion. In
this work,we investigate the BRST cohomology on the two dimensional N = (4;4) CKKU lattice
model without moduli fixing mass term. We show that the BRST cohomology in the target
continuum theory cannot be realized from the BRST cohomology on the lattice. From this result,
we obtain the possible implication that the N = (4;4) CKKU model cannot realize the target
continuum theory when the non-perturbative effects are taken into account.
