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Numerical Analysis of Discretized ${\mathcal N}=(2,2)$ SYM on Polyhedra

S. Kamata, S. Matsuura, T. Misumi, K. Ohta

in 34th annual International Symposium on Lattice Field Theory

Contribution: pdf


We perform a numerical simulation of the two-dimensional N = (2,2)
supersymmetric YangMills (SYM) theory on the discretized curved space. The U(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.