Two-logarithm matrix model with an external field

preprint1999arXivOpen access

We investigate the two-logarithm matrix model with the potential $XΛ+α\log(1+X)+β\log(1-X)$ related to an exactly solvable Kazakov-Migdal model. In the proper normalization, using Virasoro constraints, we prove the equivalence of this model and the Kontsevich-Penner matrix model and construct the 1/N-expansion solution of this model.

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Two-logarithm matrix model with an external field

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