Matrix Models as Integrable Systems

Details Matrix Models as Integrable Systems Matrix Models as Integrable Systems

1995-02-14

arxiv.org/abs/hep-th/9502091v1

Physics

High Energy Physics

High Energy Physics - Theory

60 pages, LaTeX. Presented at Banff Conference, Banff, Canada, 15-23 August 1994.

Scientific paper

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 $\tau$-functions which allows to go beyond the restricted set of the (multicomponent) KP and Toda integrable hierarchies.

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