Generation of Matrix Models by W-operators

Details Generation of Matrix Models by W-operators Generation of Matrix Models by W-operators

2009-02-16

arxiv.org/abs/0902.2627v3

JHEP 0904:064,2009

Physics

High Energy Physics

High Energy Physics - Theory

30 pages

Scientific paper

10.1088/1126-6708/2009/04/064

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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