Matrix Models as Integrable Systems
High Energy Physics - Theory
2016-09-06 v1
Abstract
The theory of matrix models is reviewed from the point of view of its relation to integrable hierarchies. Determinantal formulas, relation to conformal field models and the theory of Generalized Kontsevich model are discussed in some detail. Attention is also paid to the group-theoretical interpretation of -functions which allows to go beyond the restricted set of the (multicomponent) KP and Toda integrable hierarchies.
Cite
@article{arxiv.hep-th/9502091,
title = {Matrix Models as Integrable Systems},
author = {A. Morozov},
journal= {arXiv preprint arXiv:hep-th/9502091},
year = {2016}
}
Comments
60 pages, LaTeX. Presented at Banff Conference, Banff, Canada, 15-23 August 1994.