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arXiv:2306.12932 · Theoretical and Mathematical Physics

Scalar products of Bethe vectors in the generalized algebraic Bethe ansatz

G. Kulkarni, N. A. Slavnov

Published Oct 1, 2023• 4 citations
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Abstract

We consider an $$XYZ$$ spin chain within the framework of the generalized algebraic Bethe ansatz. We study scalar products of the transfer matrix eigenvectors and arbitrary Bethe vectors. In the particular case of free fermions, we obtain explicit expressions for the scalar products with different number of parameters in two Bethe vectors.

DOI
10.1134/s0040577923100100

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We consider an XYZXYZXYZ spin chain within the framework of the generalized algebraic Bethe ansatz. We study scalar products of the transfer matrix eigenvectors and arbitrary Bethe vectors. In the particular case of free fermions, we obtain explicit expressions for the scalar products with different number of parameters in two Bethe vectors.
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Scalar products of Bethe vectors in models with gl(2∣1)\mathfrak{gl}(2|1)gl(2∣1) symmetry 1. Super-analog of Reshetikhin formula
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