Continuous representations of scalar products of Bethe vectors

Abstract

We present families of single determinantal representations of on-shell scalar products of Bethe vectors. Our families of representations are parameterized by a continuous complex variable which can be fixed at convenience. Here we consider Bethe vectors in two versions of the six-vertex model: the case with boundary twists and the case with open boundaries.

21 pages; v2: minor stylistic changes, missing factor in 3.15 and 3.16 added

References in corpus (6)

• Functional relations from the Yang-Baxter algebra: Eigenvalues of the XXZ model with non-diagonal twisted and open boundary conditions
• Correlation functions of the open XXZ chain I
• Elliptic solid-on-solid model's partition function as a single determinant
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Cited by in corpus (2)

• Six-vertex model and non-linear differential equations I. Spectral problem
• Domain-wall boundaries through non-diagonal twists in the six-vertex model