New Algebraic Structures from Hermitian One-Matrix Model

doi:10.1007/s10114-017-6268-2

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 应用数学研究所

	New Algebraic Structures from Hermitian One-Matrix Model
	Ding, Xiang Mao1 ; Li, Yu Ping 1; Meng, Ling Xian 1,2
刊名	ACTA MATHEMATICA SINICA-ENGLISH SERIES
	2017-09-01
卷号	33 期号:9 页码:1193-1205
关键词	Matrix model Virasoro constraint conformal symmetry
ISSN号	1439-8516
DOI	10.1007/s10114-017-6268-2
英文摘要	Virasoro constraint is the operator algebra version of one-loop equation for a Hermitian one-matrix model, and it plays an important role in solving the model. We construct the realization of the Virasoro constraint from the Conformal Field Theory (CFT) method. From multi-loop equations of the one-matrix model, we get a more general constraint. It can be expressed in terms of the operator algebras, which is the Virasoro subalgebra with extra parameters. In this sense, we named as generalized Virasoro constraint. We enlarge this algebra with central extension, this is a new kind of algebra, and the usual Virasoro algebra is its subalgebra. And we give a bosonic realization of its subalgebra.
资助项目	NSFC[11375258] ; NSFC Tianyuan Special Fund[11626222]
WOS研究方向	Mathematics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000407226600003
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/26224]
专题	应用数学研究所
通讯作者	Ding, Xiang Mao
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Zhengzhou Univ Light Ind, Coll Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China
推荐引用方式 GB/T 7714	Ding, Xiang Mao,Li, Yu Ping,Meng, Ling Xian. New Algebraic Structures from Hermitian One-Matrix Model[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2017,33(9):1193-1205.
APA	Ding, Xiang Mao,Li, Yu Ping,&Meng, Ling Xian.(2017).New Algebraic Structures from Hermitian One-Matrix Model.ACTA MATHEMATICA SINICA-ENGLISH SERIES,33(9),1193-1205.
MLA	Ding, Xiang Mao,et al."New Algebraic Structures from Hermitian One-Matrix Model".ACTA MATHEMATICA SINICA-ENGLISH SERIES 33.9(2017):1193-1205.