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arxiv: hep-th/9502091 · v1 · submitted 1995-02-14 · ✦ hep-th

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Matrix Models as Integrable Systems

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classification ✦ hep-th
keywords integrablemodelshierarchiesmatrixrelationtheoryallowsattention
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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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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Group character averages via a single Laguerre

    hep-th 2026-02 unverdicted novelty 6.0

    Generic sum rules express arbitrary traces through convolutions of a single Laguerre polynomial for group character averages in Gaussian matrix models.