SOLITON EQUATIONS AND FREE FERMIONS ON RIEMANN SURFACES

Author:

ISHIBASHI NOBUYUKI1,MATSUO YUTAKA1,OOGURI HIROSI1

Affiliation:

1. Department of Physics, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113, Japan

Abstract

Operator formalism for free fermions on general Riemann surfaces is developed based on the Sato theory of the Kadomtsev-Petviashvilli hierarchy. Moduli spaces of various genuses are included in Sato’s universal Grassmannian manifold (UGM), and we have investigated explicitly behaviour of this inclusion mapping near boundaries of moduli spaces.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

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