Partition functions for Matrix Models and Isomonodromic Tau functions

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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17 pages, one figure, uses subeqnarray.sty, added references, typos removed Version accepted

Scientific paper

10.1088/0305-4470/36/12/313

For one-matrix models with polynomial potentials, the explicit relationship
between the partition function and the isomonodromic tau function for the 2x2
polynomial differential systems satisfied by the associated orthogonal
polynomials is derived.

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