### 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 language | English |
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Journal | Proceedings of Science |

Volume | Part F128557 |

Publication status | Published - 2016 |

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### ASJC Scopus subject areas

- General

### Cite this

*Proceedings of Science*,

*Part F128557*.

**Numerical analysis of discretized N = (2,2) SYM on polyhedra.** / Kamata, Syo; Matsuura, So; Misumi, Tatsuhiro; Ohta, Kazutoshi.

Research output: Contribution to journal › Article

*Proceedings of Science*, vol. Part F128557.

}

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

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.

UR - http://www.scopus.com/inward/record.url?scp=85025825036&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85025825036&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85025825036

VL - Part F128557

JO - Proceedings of Science

JF - Proceedings of Science

SN - 1824-8039

ER -