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Li, Wei; Longhi, Pietro1
Gluing two affine Yangians of gl(1)
AbstractWe 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.
Cooperation Status国际
Subject AreaPhysics
MOST Discipline CataloguePhysics, Particles & Fields
Indexed BySCIE
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Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.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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