Toroidal and elliptic quiver BPS algebras and beyond
文献类型：期刊论文
| 作者 | Galakhov, Dmitry2; Li, Wei1 ; Yamazaki, Masahito
|
| 刊名 | JOURNAL OF HIGH ENERGY PHYSICS
 |
| 出版日期 | 2022 |
| 期号 | 2页码:24 |
| 关键词 | DONALDSON-THOMAS INVARIANTS COHOMOLOGICAL HALL ALGEBRA CALABI-YAU EQUIVARIANT COHOMOLOGY MODULI SPACE K-THEORY VERTEX |
| ISSN号 | 1029-8479 |
| DOI | 10.1007/JHEP02(2022)024 |
| 英文摘要 | The quiver Yangian, an infinite-dimensional algebra introduced recently in [1], is the algebra underlying BPS state counting problems for toric Calabi-Yau three-folds. We introduce trigonometric and elliptic analogues of quiver Yangians, which we call toroidal quiver algebras and elliptic quiver algebras, respectively. We construct the representations of the shifted toroidal and elliptic algebras in terms of the statistical model of crystal melting. We also derive the algebras and their representations from equivariant localization of three-dimensional N = 2 supersymmetric quiver gauge theories, and their dimensionally-reduced counterparts. The analysis of supersymmetric gauge theories suggests that there exist even richer classes of algebras associated with higher-genus Riemann surfaces and generalized cohomology theories. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/27895]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 作者单位 | 1.Inst Informat Transmiss Problems, Bolshoy Karetny Per 19,Build 1, Moscow 127051, Russia 2.Univ Tokyo, Kavli Inst Phys & Math Universe WPI, 5-1-5 Kashiwanoha, Kashiwa, Chiba 2778583, Japan 3.Chinese Acad Sci, Inst Theoret Phys, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Galakhov, Dmitry,Li, Wei,Yamazaki, Masahito. Toroidal and elliptic quiver BPS algebras and beyond[J]. JOURNAL OF HIGH ENERGY PHYSICS,2022(2):24. |
| APA | Galakhov, Dmitry,Li, Wei,&Yamazaki, Masahito.(2022).Toroidal and elliptic quiver BPS algebras and beyond.JOURNAL OF HIGH ENERGY PHYSICS(2),24. |
| MLA | Galakhov, Dmitry,et al."Toroidal and elliptic quiver BPS algebras and beyond".JOURNAL OF HIGH ENERGY PHYSICS .2(2022):24. |
入库方式： OAI收割
来源：理论物理研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。