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

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

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 [20]. 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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ژورنال

عنوان ژورنال: Journal of Mathematical Physics

سال: 2009

ISSN: 0022-2488,1089-7658

DOI: 10.1063/1.3054865