Differential approach to on-shell scalar products in six-vertex models

Abstract

In this work we obtain hierarchies of partial differential equations describing on-shell scalar products for two types of six-vertex models. More precisely, six-vertex models with two different diagonal boundary conditions are considered: the case with boundary twists and the case with open boundary conditions. Solutions and properties of our partial differential equations are also discussed.

26 pages; V2: minor changes, references added

References in corpus (7)

• 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
• The Bethe Ansatz Equations for Reflecting Magnons
• Reflection algebra and functional equations
• Off-shell scalar products for the $XXZ$ spin chain with open boundaries
• Twisted Heisenberg chain and the six-vertex model with DWBC
• Partial differential equations from integrable vertex models

Cited by in corpus (3)

• New differential equations in the six-vertex model
• Six-vertex model and non-linear differential equations I. Spectral problem
• Continuous representations of scalar products of Bethe vectors