Orthogonal and Symplectic Matrix Integrals and Coupled KP Hierarchy.

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  • Kakei Saburo
    Department of Mathematical Sciences, University of Tokyo, Komaba 3–8–1, Meguro–ku, Tokyo 153–8902

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Abstract

Orthogonal and symplectic matrix integrals are investigated. It is shown that the matrix integrals can be considered as a τ-function of the coupled KP hierarchy, whose solution can be expressed in terms of pfaffians.

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