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arXiv:1606.03573 · Journal of Physics A Mathematical and Theoretical

Scalar products of Bethe vectors in models with g l ( 2 | 1 ) symmetry 2. Determinant representation*

A Hutsalyuk, A Liashyk, S Z Pakuliak, E. Ragoucy, N A Slavnov

Published Dec 20, 2016• 30 citations
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Abstract

Abstract We study integrable models with g l ( 2 | 1 ) symmetry and solvable by nested algebraic Bethe ansatz. We obtain a determinant representation for scalar products of Bethe vectors, when the Bethe parameters obey some relations weaker than the Bethe equations. This representation allows us to find the norms of on-shell Bethe vectors and obtain determinant formulas for form factors of the diagonal entries of the monodromy matrix.

DOI
10.1088/1751-8121/50/3/034004

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