Gluing two affine Yangians of gl(1)

doi:10.1007/JHEP10(2019)131

ITP OpenIR > SCI期刊论文

	Li, Wei; Longhi, Pietro 1
	Gluing two affine Yangians of gl(1)
Source Publication	JOURNAL OF HIGH ENERGY PHYSICS
Language	英语
Keyword	CONSTRUCTION
Abstract	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.
	2019
ISSN	1029-8479
Issue	10 Pages:131
Cooperation Status	国际
Subject Area	Physics
MOST Discipline Catalogue	Physics, Particles & Fields
DOI	10.1007/JHEP10(2019)131
Indexed By	SCIE
Citation statistics	Cited Times:4[WOS] [WOS Record] [Related Records in WOS]
Document Type	期刊论文
Identifier	http://ir.itp.ac.cn/handle/311006/26993
Collection	SCI期刊论文
Affiliation	1.Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China 2.Swiss Fed Inst Technol, Inst Theoret Phys, CH-8093 Zurich, Switzerland
Recommended Citation 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.

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