New Algebraic Structures from Hermitian One-Matrix Model

doi:10.1007/s10114-017-6268-2

CSpace > 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
	2017-09-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	33 期号:9 页码:1193-1205
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.
关键词	Matrix model Virasoro constraint conformal symmetry
DOI	10.1007/s10114-017-6268-2
语种	英语
资助项目	NSFC[11375258] ; NSFC Tianyuan Special Fund[11626222]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000407226600003
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/26225
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.