Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors

Abstract

Solutions to boundary quantum Knizhnik-Zamolodchikov equations are constructed as bilateral sums involving "off-shell" Bethe vectors in case the reflection matrix is diagonal and only the 2-dimensional representation of $U_q(\widehat{\mathfrak{sl}(2)})$ is involved. We also consider their rational and classical degenerations.

32 pages - some typos fixed, changed some terminology to conform to existing nomenclature (incl. change in title)

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Cited by in corpus (7)

• Boundary transfer matrices and boundary quantum KZ equations
• Boundary quantum Knizhnik-Zamolodchikov equations and fusion
• A Q-operator for open spin chains I: Baxter's TQ relation
• Integral solutions to boundary quantum Knizhnik-Zamolodchikov equations
• Connection problems for quantum affine KZ equations and integrable lattice models
• Tensor K-matrices for quantum symmetric pairs
• The open XXZ chain at $\Delta =-1/2$ and the boundary quantum Knizhnik-Zamolodchikov equations