Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors
Nicolai Reshetikhin, Jasper Stokman, Bart Vlaar
TL;DR
This paper constructs solutions to boundary quantum Knizhnik-Zamolodchikov equations using bilateral sums of off-shell Bethe vectors, exploring diagonal reflection matrices and degenerations.
Contribution
It introduces a novel method for solving boundary qKZ equations via bilateral sums of Bethe vectors, including rational and classical limits.
Findings
Solutions expressed as bilateral sums of off-shell Bethe vectors
Applicable to diagonal reflection matrices and 2D $U_q( rak{sl}(2))$ representations
Includes analysis of rational and classical degenerations
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 is involved. We also consider their rational and classical degenerations.
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