| 言語種別 | 英語 |
|---|---|
| 発行・発表の年月 | 2014/11 |
| 形態種別 | 論文 |
| 査読 | 査読あり |
| 標題 | Exact Results in Quiver Quantum Mechanics and BPS Bound State Counting |
| 執筆形態 | 共著 |
| 掲載誌名 | Journal of High Energy Physics |
| 出版社・発行元 | Springer International Publishing AG |
| 巻・号・頁 | 2014:123 |
| 著者・共著者 | Kazutoshi Ohta, Yuya Sasai |
| 概要 | We exactly evaluate the partition function (index) of N=4 supersymmetric quiver quantum mechanics in the Higgs phase by using the localization techniques. We show that the path integral is localized at the fixed points, which are obtained by solving the BRST equations, and D-term and F-term conditions. We turn on background gauge fields of R-symmetries for the chiral multiplets corresponding to the arrows between quiver nodes, but the partition function does not depend on these R-charges. We give explicit examples of the quiver theory including a non-coprime dimension vector. The partition functions completely agree with the mathematical formulæ of the Poincaré polynomials (chi_y-genus) and the wall crossing for the quiver moduli spaces. We also discuss exact computation of the expectation values of supersymmetric (Q-closed) Wilson loops in the quiver theory. |
| DOI | 10.1007/JHEP11(2014)123 |