| 言語種別 | 英語 |
|---|---|
| 発行・発表の年月 | 2021/03 |
| 形態種別 | 【論文】研究論文（学術雑誌）＜査読あり＞ |
| 査読 | 査読あり |
| 標題 | The Volume of the Quiver Vortex Moduli Space |
| 執筆形態 | 共著 |
| 掲載誌名 | Prog. Theor. Exp. Phys. |
| 掲載区分 | 国外 |
| 出版社・発行元 | Oxford University Press |
| 巻・号・頁 | 2021,033B02 |
| 著者・共著者 | Kazutoshi Ohta and Norisuke Sakai |
| 概要 | We study the moduli space volume of BPS vortices in quiver gauge theories on compact Riemann surfaces. The existence of BPS vortices imposes constraints on the quiver gauge theories. We show that the moduli space volume is given by a vev of a suitable cohomological operator (volume operator) in a supersymmetric quiver gauge theory, where BPS equations of the vortices are embedded. In the supersymmetric gauge theory, the moduli space volume is exactly evaluated as a contour integral by using the localization. Graph theory is useful to construct the supersymmetric quiver gauge theory and to derive the volume formula. The contour integral formula of the volume (generalization of the Jeffrey-Kirwan residue formula) leads to the Bradlow bounds (upper bounds on the vorticity by the area of the Riemann surface divided by the intrinsic size of the vortex). We give some examples of various quiver gauge theories and discuss properties of the moduli space volume in these theories. |
| DOI | 10.1093/ptep/ptab012 |
| arXiv ID | 2009.09580 [hep-th] |