Numerical analysis of discretized N = (2,2) SYM on polyhedra

We perform a numerical simulation of the two-dimensional N = (2,2) supersymmetric Yang- Mills (SYM) theory on the discretized curved space. TheU(1)_A anomaly of the continuum theory is maintained also in the discretized theory as an unbalance of the number of the fermions. In the process, we propose a new phase-quenched approximation, which we call the "anomaly-phasequenched (APQ) method", to make the partition function and observables well-defined by U(1)_A phase cancellation. By adopting APQ method, we estimate the Ward-Takahashi identity for exact SUSY on lattice and clarify contribution of the pseudo zero-modes to the pfaffian phase.