Orthogonal and symplectic matrix integrals and coupled KP hierarchy

1999/09/22 by Saburo Kakei
Physics and Astronomy · Mathematics · #solv-int #hep-th #math-ph #math.MP #nlin.SI

paper · pdf · doi:10.1143/jpsj.68.2875

published as J.Phys.Soc.Jap. 68 (1999) 2875-2877 · 4 pages, LaTeX, no figures. to appear in J. Phys. Soc. Jpn. Vol. 68, No. 9 (1999)

arxiv created 1999/09/22 · arxiv updated 2009/11/30

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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