Integrability and Matrix Models

Details Integrability and Matrix Models Integrability and Matrix Models

1993-03-24

arxiv.org/abs/hep-th/9303139v2

Phys.Usp.37:1-55,1994

Physics

High Energy Physics

High Energy Physics - Theory

146 pages, ITEP-M2/93 & ITFA 93-10, LaTeX, minor misprints are corrected

Scientific paper

10.1070/PU1994v037n01ABEH000001

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.

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