Partition functions for matrix models and isomonodromic tau functions

Authors: Bertola M.1; Eynard B.1; Harnad J.1

Source: Journal of Physics A: Mathematical and General, Volume 36, Number 12, 2003 , pp. 3067-3083(17)

Publisher: Institute of Physics Publishing

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Abstract:

For one-matrix models with polynomial potentials, the explicit relationship between the partition function and the isomonodromic tau function for the 2 × 2 polynomial differential systems satisfied by the associated orthogonal polynomials is derived.

Language: English

Document Type: Miscellaneous

Affiliations: 1: Centre de recherches mathématiques, Université de Montréal, CP 6128, succ. centre ville, Montréal, Québec, Canada H3C 3J7

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