Hamiltonian structure of isospectral deformation equations. Elliptic curve case

Abstract

We continue the investigation of semiclassical limits of factorized S-matrices and Hamiltonian structure they induce on two dimensional isospectral deformation equations. Before [7] we dealt with rational Riemann surfaces. Here we propose a new class of semiclassical factorized S-matrices associated with an arbitrary elliptic curve and torsion subgroup of it. New two-dimensional field theories associated with them generalize both sin-Gordon and Baxter's systems.