Generation of Matrix Models by W-operators
High Energy Physics - Theory
2009-04-30 v3
Abstract
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.
Cite
@article{arxiv.0902.2627,
title = {Generation of Matrix Models by W-operators},
author = {A. Morozov and Sh. Shakirov},
journal= {arXiv preprint arXiv:0902.2627},
year = {2009}
}
Comments
30 pages