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Gaberdiel, MR; Gopakumar, R; Li, W; Peng, C; Gaberdiel, MR (reprint author), ETH, Inst Theoret Phys, CH-8093 Zurich, Switzerland.
Higher spins and Yangian symmetries
Source PublicationJOURNAL OF HIGH ENERGY PHYSICS
Language英语
KeywordAds-cft Correspondence Conformal And w Symmetry Higher Spin Symmetry Quantum Groups
AbstractThe relation between the bosonic higher spin W infinity[lambda] algebra, the affine Yangian of gl(1), and the SHc algebra is established in detail. For generic lambda we find explicit expressions for the low-lying W infinity[lambda] modes in terms of the a ffine Yangian generators, and deduce from this the precise identification between lambda and the parameters of the affine Yangian. Furthermore, for the free field cases corresponding to lambda = 0 and lambda = 1 we give closed-form expressions for the affine Yangian generators in terms of the free fields. Interestingly, the relation between the W infinity modes and those of the affine Yangian is a non-local one, in general. We also establish the explicit dictionary between the affine Yangian and the SHc generators. Given that Yangian algebras are the hallmark of integrability, these identifications should pave the way towards uncovering the relation between the integrable and the higher spin symmetries.
2017
Issue4Pages:152
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1007/JHEP04(2017)152
Funding OrganizationSwiss National Science Foundation ; Swiss National Science Foundation ; Swiss National Science Foundation ; Swiss National Science Foundation ; US Department of Energy [DE-SC0010010 Task A] ; US Department of Energy [DE-SC0010010 Task A] ; US Department of Energy [DE-SC0010010 Task A] ; US Department of Energy [DE-SC0010010 Task A] ; J. C. Bose Fellowship ; J. C. Bose Fellowship ; J. C. Bose Fellowship ; J. C. Bose Fellowship ; NCCR Swiss MAP - Swiss National Science Foundation ; NCCR Swiss MAP - Swiss National Science Foundation ; NCCR Swiss MAP - Swiss National Science Foundation ; NCCR Swiss MAP - Swiss National Science Foundation
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22074
Collection理论物理所科研产出_SCI论文
Corresponding AuthorGaberdiel, MR (reprint author), ETH, Inst Theoret Phys, CH-8093 Zurich, Switzerland.
Recommended Citation
GB/T 7714
Gaberdiel, MR,Gopakumar, R,Li, W,et al. Higher spins and Yangian symmetries[J]. JOURNAL OF HIGH ENERGY PHYSICS,2017(4):152.
APA Gaberdiel, MR,Gopakumar, R,Li, W,Peng, C,&Gaberdiel, MR .(2017).Higher spins and Yangian symmetries.JOURNAL OF HIGH ENERGY PHYSICS(4),152.
MLA Gaberdiel, MR,et al."Higher spins and Yangian symmetries".JOURNAL OF HIGH ENERGY PHYSICS .4(2017):152.
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