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Regular version of the site

Article

Scalar products of Bethe vectors in models with gl(2|1) 2. Determinant representation

Journal of Physics A: Mathematical and Theoretical. 2017. Vol. 50. No. 3. P. 1-22.
Hutsalyuk A., Liashyk A., Pakuliak S., Ragoucy E., Slavnov N.

We study integrable models with gl(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.