arXiv:hep-th/9808153 · Journal of Physics A Mathematical and General

Bethe equations `on the wrong side of the equator'

G. P. Pronko, Yu. G. Stroganov

Published Jan 1, 1999• 89 citations

Abstract

We analyse Baxter's famous T-Q equations for the XXX ( XXZ ) spin chain and show that, apart from its usual polynomial (trigonometric) solution, which provides the solution of Bethe ansatz equations, there also exists a second solution which should correspond to the Bethe ansatz beyond . This second solution of Baxter's equation plays an essential role and together with the first one gives rise to all fusion relations.

DOI: 10.1088/0305-4470/32/12/007

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