New algebraic structures from Hermitian one-matrix model |
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Authors: | Xiang Mao Ding Yu Ping Li Ling Xian Meng |
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Institution: | 1. Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China;
2. College of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou 450002, P. R. China |
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Abstract: | 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. |
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Keywords: | Matrix model Virasoro constraint conformal symmetry |
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