Baxter equations and Deformation of Abelian Differentials

Details Baxter equations and Deformation of Abelian Differentials Baxter equations and Deformation of Abelian Differentials

2003-02-07

arxiv.org/abs/math-ph/0302014v1

Physics

Mathematical Physics

28 pages, 1 figure

Scientific paper

10.1142/S0217751X04020543

In this paper the proofs are given of important properties of deformed
Abelian differentials introduced earlier in connection with quantum integrable
systems. The starting point of the construction is Baxter equation. In
particular, we prove Riemann bilinear relation. Duality plays important role in
our consideration. Classical limit is considered in details.

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