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arXiv · 0809.1598

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

M. Bertola·O. Marchal
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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.

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M. Bertola, O. Marchal. 2008-09-09. The partition function of the two-matrix model as an isomonodromic tau-function. https://doi.org/10.1063/1.3054865

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