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

Syo Kamata, So Matsuura, Tatsuhiro Misumi, Kazutoshi Ohta

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Abstract

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.

Original languageEnglish
JournalProceedings of Science
VolumePart F128557
Publication statusPublished - 2016

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