Gauge/Bethe correspondence from quiver BPS algebras
文献类型：期刊论文
| 作者 | Galakhov, Dmitry3; Li, Wei2 ; Yamazaki, Masahito
|
| 刊名 | JOURNAL OF HIGH ENERGY PHYSICS
 |
| 出版日期 | 2022 |
| 期号 | 11页码:119 |
| ISSN号 | 1029-8479 |
| 关键词 | DONALDSON-THOMAS INVARIANTS ADS/CFT INTEGRABILITY BETHE-ANSATZ CALABI-YAU R-MATRIX QUANTUM |
| DOI | 10.1007/JHEP11(2022)119 |
| 英文摘要 | We study the Gauge/Bethe correspondence for two-dimensional N = (2, 2) supersymmetric quiver gauge theories associated with toric Calabi-Yau three-folds, whose BPS algebras have recently been identified as the quiver Yangians. We start with the crystal representations of the quiver Yangian, which are placed at each site of the spin chain. We then construct integrable models by combining the single-site crystals into crystal chains by a coproduct of the algebra, which we determine by a combination of representation-theoretical and gauge-theoretical arguments. For non-chiral quivers, we find that the Bethe ansatz equations for the crystal chain coincide with the vacuum equation of the quiver gauge theory, thus confirming the corresponding Gauge/Bethe correspondence. For more general chiral quivers, however, we find obstructions to the R-matrices satisfying the Yang-Baxter equations and the unitarity conditions, and hence to their corresponding Gauge/Bethe correspondence. We also discuss trigonometric (quantum toroidal) versions of the quiver BPS algebras, which correspond to three-dimensional N = 2 gauge theories and arrive at similar conclusions. Our findings demonstrate that there are important subtleties in the Gauge/Bethe correspondence, often overlooked in the literature. |
| 学科主题 | Physics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/27759]  |
| 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.Chinese Acad Sci, Inst Theoret Phys, 55 Zhongguancun East Rd, Beijing 109190, Peoples R China 2.Inst Informat Transmiss Problems, Bolshoy Karetny 19,Build 1, Moscow 12794, Russia 3.Univ Tokyo, Kavli Inst Phys & Math Universe WPI, 5-1-5 Kashiwanoha, Kashiwa, Chiba 2778583, Japan |
| 推荐引用方式 GB/T 7714 | Galakhov, Dmitry,Li, Wei,Yamazaki, Masahito. Gauge/Bethe correspondence from quiver BPS algebras[J]. JOURNAL OF HIGH ENERGY PHYSICS,2022(11):119. |
| APA | Galakhov, Dmitry,Li, Wei,&Yamazaki, Masahito.(2022).Gauge/Bethe correspondence from quiver BPS algebras.JOURNAL OF HIGH ENERGY PHYSICS(11),119. |
| MLA | Galakhov, Dmitry,et al."Gauge/Bethe correspondence from quiver BPS algebras".JOURNAL OF HIGH ENERGY PHYSICS .11(2022):119. |
入库方式： OAI收割
来源：理论物理研究所
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