Gluing two affine Yangians of gl(1) | |
Li, Wei; Longhi, Pietro2 | |
刊名 | JOURNAL OF HIGH ENERGY PHYSICS
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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. |
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