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arXiv · 2303.02439

Action of the monodromy matrix entries in the generalized algebraic Bethe ansatz

G. Kulkarni·N. A. Slavnov
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Abstract

We consider an $XYZ$ spin chain within the framework of the generalized algebraic Bethe ansatz. We calculate the actions of monodromy matrix elements on Bethe vectors as a linear combination of new Bethe vectors. We also compute the multiple action of the gauge transformed monodromy matrix elements on the pre-Bethe vector and conceive the result in terms of a partition function of the 8-vertex model.

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G. Kulkarni, N. A. Slavnov. 2023-06-22. Action of the monodromy matrix entries in the generalized algebraic Bethe ansatz. https://arxiv.org/abs/2303.02439

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