Toroidal and elliptic quiver BPS algebras and beyond

doi:10.1007/JHEP02(2022)024

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	Toroidal and elliptic quiver BPS algebras and beyond
	Galakhov, Dmitry 2; Li, Wei 1; Yamazaki, Masahito
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	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
内容类型	期刊论文
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.