Bethe Equations "on the Wrong Side of Equator"

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.

13 pages, original paper was spoiled during transmission

References in corpus (1)

• Integrable Structure of Conformal Field Theory III. The Yang-Baxter Relation

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