| 言語種別 | 英語 |
|---|---|
| 発行・発表の年月 | 2016/12 |
| 形態種別 | 論文 |
| 査読 | 査読あり |
| 標題 | Anomaly and sign problem in N=(2,2) SYM on polyhedra: Numerical analysis |
| 執筆形態 | 共著 |
| 掲載誌名 | Progress of Theoretical and Experimental Physics |
| 掲載区分 | 国外 |
| 出版社・発行元 | Oxford Journals |
| 巻・号・頁 | 123B01 |
| 著者・共著者 | Syo Kamata, So Matsuura, Tatsuhiro Misumi and ◎Kazutoshi Ohta |
| 概要 | We investigate the two-dimensional N=(2,2) supersymmetric Yang-Mills (SYM) theory on the discretized curved space (polyhedra). We first revisit that the number of supersymmetries of the continuum N=(2,2) SYM theory on any curved manifold can be enhanced at least to two by introducing an appropriate U(1) gauge background associated with the U(1)_V symmetry. We then show that the generalized Sugino model on discretized curved space, which was proposed in our previous work, can be identified with the discretization of this SUSY enhanced theory, where one of the supersymmetries remains, and the other is broken but restored in the continuum limit. We find that the U(1)_A anomaly exists also in discretized theory as a result of an unbalance in the number of fermions proportional to the Euler characteristic of the polyhedra. We then study this model by using the numerical Monte Carlo simulation. |
| DOI | 10.1093/ptep/ptw153 |
| arXiv ID | arXiv:1607.01260 |