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New Algebraic Structures from Hermitian One-Matrix Model
Ding, Xiang Mao1; Li, Yu Ping1; Meng, Ling Xian1,2
AbstractVirasoro 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.
KeywordMatrix model Virasoro constraint conformal symmetry
Funding ProjectNSFC[11375258] ; NSFC Tianyuan Special Fund[11626222]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000407226600003
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Document Type期刊论文
Corresponding AuthorDing, Xiang Mao
Affiliation1.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
Recommended Citation
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.
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