The partition function of the two-matrix model as an isomonodromic tau-function
Exactly Solvable and Integrable Systems
2009-11-13 v1
Abstract
We consider the Itzykson-Zuber-Eynard-Mehta two-matrix model and prove that the partition function is an isomonodromic tau function in a sense that generalizes Jimbo-Miwa-Ueno's. In order to achieve the generalization we need to define a notion of tau-function for isomonodromic systems where the ad-regularity of the leading coefficient is not a necessary requirement.
Keywords
Cite
@article{arxiv.0809.1598,
title = {The partition function of the two-matrix model as an isomonodromic tau-function},
author = {M. Bertola and O. Marchal},
journal= {arXiv preprint arXiv:0809.1598},
year = {2009}
}
Comments
22 pages, 1 figure