TY - JOUR

T1 - Numerical Analysis of Discretized N = (2,2) SYM on Polyhedra

AU - Kamata, Syo

AU - Matsuura, So

AU - Misumi, Tatsuhiro

AU - Ohta, Kazutoshi

N1 - Funding Information:
The work of S.M., T.M. and K.O. was supported in part by Grant-in-Aid for Scientific Research (C) 15K05060, Grant-in-Aid for Young Scientists (B) 16K17677, and JSPS KAKENHI Grant Number JP26400256, respectively. S.K. is supported by the Advanced Science Measurement Research Center at Rikkyo University. This work is also supported by MEXT-Supported Program for the Strategic Research Foundation at Private Universities “Topological Science” (Grant No. S1511006).
Publisher Copyright:
© Copyright owned by the author(s) under the terms of the Creative Commons.

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

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M3 - Conference article

AN - SCOPUS:85110672105

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

M1 - 210

T2 - 34th Annual International Symposium on Lattice Field Theory, LATTICE 2016

Y2 - 24 July 2016 through 30 July 2016

ER -