Shifted quiver Yangians and representations from BPS crystals

doi:10.1007/JHEP08(2021)146

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	Shifted quiver Yangians and representations from BPS crystals
	Galakhov, Dmitry 1; Li, Wei 2; Yamazaki, Masahito
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	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
DOI	10.1007/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
内容类型	期刊论文
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
推荐引用方式 GB/T 7714	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.