Scalar products of Bethe vectors in the generalized algebraic Bethe ansatz

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.

24 pages, no figures

Cited by in corpus (1)

• The open XYZ spin 1/2 chain: Separation of Variables and scalar products for boundary fields related by a constraint