Gluing two affine Yangians of gl(1)

doi:10.1007/JHEP10(2019)131

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	Gluing two affine Yangians of gl(1)
	Li, Wei ; Longhi, Pietro 2
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2019
期号	10 页码:131
关键词	CONSTRUCTION
ISSN号	1029-8479
DOI	10.1007/JHEP10(2019)131
英文摘要	We construct a four-parameter family of affine Yangian algebras by gluing two copies of the affine Yangian of gl(1). Our construction allows for gluing operators with arbitrary (integer or half integer) conformal dimension and arbitrary (bosonic or fermionic) statistics, which is related to the relative framing. The resulting family of algebras is a two-parameter generalization of the N = 2 affine Yangian, which is isomorphic to the universal enveloping algebra of u(1)circle plus W-infinity(N=2) vertical bar lambda vertical bar. All algebras that we construct have natural representations in terms of "twin plane partitions", a pair of plane partitions appropriately joined along one common leg. We observe that the geometry of twin plane partitions, which determines the algebra, bears striking similarities to the geometry of certain toric Calabi-Yau threefolds.
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/311006/26993]
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.Swiss Fed Inst Technol, Inst Theoret Phys, CH-8093 Zurich, Switzerland 2.Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Wei,Longhi, Pietro. Gluing two affine Yangians of gl(1)[J]. JOURNAL OF HIGH ENERGY PHYSICS,2019(10):131.
APA	Li, Wei,&Longhi, Pietro.(2019).Gluing two affine Yangians of gl(1).JOURNAL OF HIGH ENERGY PHYSICS(10),131.
MLA	Li, Wei,et al."Gluing two affine Yangians of gl(1)".JOURNAL OF HIGH ENERGY PHYSICS .10(2019):131.