KMS Of Academy of mathematics and systems sciences, CAS
New Algebraic Structures from Hermitian One-Matrix Model | |
Ding, Xiang Mao1; Li, Yu Ping1; Meng, Ling Xian1,2 | |
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. |
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