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.
Keywords
- Elliptic Curve
- Spectral Problem
- Abelian Variety
- Hamiltonian Structure
- Torsion Subgroup
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© 1982 Springer-Verlag
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Chudnovsky, D.V., Chudnovsky, G.V. (1982). Hamiltonian structure of isospectral deformation equations. Elliptic curve case. In: Chudnovsky, D.V., Chudnovsky, G.V. (eds) The Riemann Problem, Complete Integrability and Arithmetic Applications. Lecture Notes in Mathematics, vol 925. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0093505
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DOI: https://doi.org/10.1007/BFb0093505
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