Integrability and matrix models 论文
1994Physics-Uspekhi引用 287
Nonlinear Waves and SolitonsMatrix Theory and AlgorithmsAlgebraic structures and combinatorial models
摘要
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.