Bethe Equations "on the Wrong Side of Equator"
G. P. Pronko, Yu. G. Stroganov
Abstract
We analyse the famous Baxter's T-Q equations for XXX (XXZ) spin chain and show that apart from its usual polynomial (trigonometric) solution, which provides the solution of Bethe-Ansatz equations, there exists also the second solution which should corresponds to Bethe-Ansatz beyond N/2. This second solution of Baxter's equation plays essential role and together with the first one gives rise to all fusion relations.
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