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Chinese Academy of Sciences Institutional Repositories Grid
Shifted quiver Yangians and representations from BPS crystals

文献类型:期刊论文

作者Galakhov, Dmitry1; Li, Wei2; Yamazaki, Masahito
刊名JOURNAL OF HIGH ENERGY PHYSICS
出版日期2021
期号8页码:146
关键词DONALDSON-THOMAS INVARIANTS COULOMB BRANCHES GAUGE-THEORIES CALABI-YAU ALGEBRAS INSTANTONS
ISSN号1029-8479
DOI10.1007/JHEP08(2021)146
英文摘要We introduce a class of new algebras, the shifted quiver Yangians, as the BPS algebras for type IIA string theory on general toric Calabi-Yau three-folds. We construct representations of the shifted quiver Yangian from general subcrystals of the canonical crystal. We derive our results via equivariant localization for supersymmetric quiver quantum mechanics for various framed quivers, where the framings are determined by the shape of the subcrystals. Our results unify many known BPS state counting problems, including open BPS counting, non-compact D4-branes, and wall crossing phenomena, simply as different representations of the shifted quiver Yangians. Furthermore, most of our representations seem to be new, and this suggests the existence of a zoo of BPS state counting problems yet to be studied in detail.
学科主题Physics
语种英语
源URL[http://ir.itp.ac.cn/handle/311006/27479]  
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.Univ Tokyo, Kavli Inst Phys & Math Universe WPI, 5-1-5 Kashiwanoha, Kashiwa, Chiba 2778583, Japan
2.Chinese Acad Sci, Inst Theoret Phys, 55 Zhongguancun East Rd, Beijing 100190, Peoples R China
3.Inst Informat Transmiss Problems, Bolshoy Karetny Per 19,Build 1, Moscow 127051, Russia
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Galakhov, Dmitry,Li, Wei,Yamazaki, Masahito. Shifted quiver Yangians and representations from BPS crystals[J]. JOURNAL OF HIGH ENERGY PHYSICS,2021(8):146.
APA Galakhov, Dmitry,Li, Wei,&Yamazaki, Masahito.(2021).Shifted quiver Yangians and representations from BPS crystals.JOURNAL OF HIGH ENERGY PHYSICS(8),146.
MLA Galakhov, Dmitry,et al."Shifted quiver Yangians and representations from BPS crystals".JOURNAL OF HIGH ENERGY PHYSICS .8(2021):146.

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来源:理论物理研究所

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