Partition functions for Matrix Models and Isomonodromic Tau functions
Exactly Solvable and Integrable Systems
2008-11-26 v4 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
For one-matrix models with polynomial potentials, the explicit relationship between the partition function and the isomonodromic tau function for the 2x2 polynomial differential systems satisfied by the associated orthogonal polynomials is derived.
Cite
@article{arxiv.nlin/0204054,
title = {Partition functions for Matrix Models and Isomonodromic Tau functions},
author = {M. Bertola and B. Eynard and J. Harnad},
journal= {arXiv preprint arXiv:nlin/0204054},
year = {2008}
}
Comments
17 pages, one figure, uses subeqnarray.sty, added references, typos removed Version accepted