Determinant Representations for Scalar Products in the Algebraic Bethe Ansatz

Аннотация

We study integrable models with gl(2|1) symmetry that are solvable by the nested algebraic Bethe ansatz. We obtain a new determinant representation for scalar products of twisted and ordinary on-shell Bethe vectors. The obtained representation leads to a new formula for the scalar products in models with gl(2) symmetry.