Integrability and matrix models
- 31 January 1994
- journal article
- Published by Uspekhi Fizicheskikh Nauk (UFN) Journal in Physics-Uspekhi
- Vol. 37 (1) , 1-55
- https://doi.org/10.1070/pu1994v037n01abeh000001
Abstract
The theory of matrix models is reviewed from the point of view of its relation to integrable hierarchies. Discrete 1-matrix, 2-matrix, ``conformal'' (multicomponent) and Kontsevich models are considered in some detail, together with the Ward identites (``W-constraints''), determinantal formulas and continuum limits, taking one kind of models into another. Subtle points and directions of the future research are also discussed.Keywords
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