The partition function of the two-matrix model as an isomonodromic tau-function

Details The partition function of the two-matrix model as an isomonodromic tau-function The partition function of the two-matrix model as an isomonodromic tau-function

2008-09-09

arxiv.org/abs/0809.1598v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

22 pages, 1 figure

Scientific paper

10.1063/1.3054865

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.

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