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Bethe equations “On the wrong side of the equator”. (English. Russian original) Zbl 0957.82013
Theor. Math. Phys. 118, No. 3, 357-364 (1999); translation from Teor. Mat. Fiz. 118, No. 3, 452-461 (1999).
Summary: The $$T$$-$$Q$$ Baxter equations for the $$XXX$$ $$(XXZ)$$ spin chain are analyzed. For each polynomial (trigonometric) solution of degree not exceeding $$N/2$$, which provides a solution of the Bethe ansatz equations, there exists a second linearly independent polynomial solution of degree greater than $$N/2$$. This second solution plays an essential role; in particular, all fusion relations follow from these two solutions.

MSC:
 82B23 Exactly solvable models; Bethe ansatz
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References:
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