Bethe equations “on the wrong side of the equator”
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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.
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