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Matrix Models as Integrable Systems
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✦ 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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Cited by 1 Pith paper
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Group character averages via a single Laguerre
Generic sum rules express arbitrary traces through convolutions of a single Laguerre polynomial for group character averages in Gaussian matrix models.
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