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Matrix Models as Integrable Systems

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Particles and Fields

Part of the book series: CRM Series in Mathematical Physics ((CRM))

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 (GKN) are discussed in some detail. Attention is also paid to the group-theoretical interpretation of τ-functions which allows us to go beyond the restricted set of the (multicomponent) KP and Toda integrable hierarchies.

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  1. A. Morozov
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Editors and Affiliations

  1. Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia, V6T 1Z1, Canada

    Gordon Semenoff

  2. Centre de Recherches Mathématiques, Université de Montréal, Montreal, Québec, H3C 3J7, Canada

    Luc Vinet

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Morozov, A. (1999). Matrix Models as Integrable Systems. In: Semenoff, G., Vinet, L. (eds) Particles and Fields. CRM Series in Mathematical Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1410-6_5

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  • DOI: https://doi.org/10.1007/978-1-4612-1410-6_5

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