On q-deformed infinite-dimensional n-algebra

doi:10.1016/j.nuclphysb.2016.01.003

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	On q-deformed infinite-dimensional n-algebra
	Ding, Lu1 ; Jia, Xiao-Yu 2; Wu, Ke 2,3; Yan, Zhao-Wen 4; Zhao, Wei-Zhong 2,3
刊名	NUCLEAR PHYSICS B
	2016-03-01
卷号	904 页码:18-38
ISSN号	0550-3213
DOI	10.1016/j.nuclphysb.2016.01.003
英文摘要	The q-deformation of the infinite-dimensional n-algebras is investigated. Based on the structure of the q-deformed Virasoro-Witt algebra, we derive a nontrivial q-deformed Virasoro Witt n-algebra which is nothing but a sh-n-Lie algebra. Furthermore in terms of the pseud-differential operators, we construct the (co)sine n-algebra and the q-deformed SDiff(T-2) n-algebra. We find that they are the sh-n-Lie algebras for the n even case. In terms of the magnetic translation operators, an explicit physical realization of the (co)sine n-algebra is given. (C) 2016 The Authors. Published by Elsevier B.V.
资助项目	Morningside Center of Chinese Academy of Sciences ; NSF[11375119] ; NSF[11475116] ; [KZ201210028032]
WOS研究方向	Physics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000371360900002
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/22171]
专题	应用数学研究所
通讯作者	Zhao, Wei-Zhong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China 3.Beijing Ctr Math & Informat Interdisciplinary Sci, Beijing 100048, Peoples R China 4.Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
推荐引用方式 GB/T 7714	Ding, Lu,Jia, Xiao-Yu,Wu, Ke,et al. On q-deformed infinite-dimensional n-algebra[J]. NUCLEAR PHYSICS B,2016,904:18-38.
APA	Ding, Lu,Jia, Xiao-Yu,Wu, Ke,Yan, Zhao-Wen,&Zhao, Wei-Zhong.(2016).On q-deformed infinite-dimensional n-algebra.NUCLEAR PHYSICS B,904,18-38.
MLA	Ding, Lu,et al."On q-deformed infinite-dimensional n-algebra".NUCLEAR PHYSICS B 904(2016):18-38.