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Higher spins and Yangian symmetries
Gaberdiel, MR; Gopakumar, R; Li, W; Peng, C; Gaberdiel, MR (reprint author), ETH, Inst Theoret Phys, CH-8093 Zurich, Switzerland.
2017
发表期刊JOURNAL OF HIGH ENERGY PHYSICS
期号4页码:152
文章类型Article
摘要The 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.
关键词Ads-cft Correspondence Conformal And w Symmetry Higher Spin Symmetry Quantum Groups
学科领域Physics
资助者Swiss 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 ; Swiss 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
DOIhttp://dx.doi.org/10.1007/JHEP04(2017)152
关键词[WOS]ALGEBRAS
语种英语
资助者Swiss 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 ; Swiss 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
WOS类目Physics, Particles & Fields
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/22074
专题理论物理所SCI论文
通讯作者Gaberdiel, MR (reprint author), ETH, Inst Theoret Phys, CH-8093 Zurich, Switzerland.
推荐引用方式
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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