Generation of Matrix Models by W-operators

A.Morozov; Sh.Shakirov

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arxiv 0902.2627 v3 pith:H3WM3YDY submitted 2009-02-16 hep-th

Generation of Matrix Models by W-operators

A.Morozov , Sh.Shakirov This is my paper

classification hep-th

keywords matrixmodelw-operatorsfunctionshermitianmodelsactingalgebra

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We show that partition functions of various matrix models can be obtained by acting on elementary functions with exponents of W-operators. A number of illustrations is given, including the Gaussian Hermitian matrix model, Hermitian model in external field and the Hurwitz-Kontsevitch model, for which we suggest an elegant matrix-model representation. In all these examples, the relevant W-operators belong to the W_3-algebra.

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