Orthogonal and symplectic matrix integrals and coupled KP hierarchy

Details Orthogonal and symplectic matrix integrals and coupled KP hierarchy Orthogonal and symplectic matrix integrals and coupled KP hierarchy

1999-09-22

arxiv.org/abs/solv-int/9909023v1

J.Phys.Soc.Jap. 68 (1999) 2875-2877

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, LaTeX, no figures. to appear in J. Phys. Soc. Jpn. Vol. 68, No. 9 (1999)

Scientific paper

10.1143/JPSJ.68.2875

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

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