We consider the Itzykson–Zuber–Eynard–Mehta two-matrix model and prove that the partition function is an isomonodromic function in a sense that generalizes that of Jimbo et al. [ “Monodromy preserving deformation of linear ordinary differential equations with rational coefficients,” Physica D 2, 306 (1981)]. In order to achieve the generalization we need to define a notion of function for isomonodromic systems where the adregularity of the leading coefficient is not a necessary requirement.
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2009
American Institute of Physics
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