Integrability and Matrix Models
High Energy Physics - Theory
2010-12-17 v2
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.
Cite
@article{arxiv.hep-th/9303139,
title = {Integrability and Matrix Models},
author = {A. Morozov},
journal= {arXiv preprint arXiv:hep-th/9303139},
year = {2010}
}
Comments
146 pages, ITEP-M2/93 & ITFA 93-10, LaTeX, minor misprints are corrected