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Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors

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arxiv 1305.1113 v2 pith:7VVSIZVE submitted 2013-05-06 math.QA math-phmath.MP

Nicolai Reshetikhin , Jasper Stokman , Bart Vlaar This is my paper · ORCID
classification math.QAmath-phmath.MP
keywords betheboundaryequationsknizhnik-zamolodchikovquantumvectorsbilateralcase
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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 $U_q(\hat{\frak{sl}(2)})$ is involved. We also consider their rational and classical degenerations.

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Cited by 1 Pith paper

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  1. Freidel-Maillet type equations on fused K-matrices over the positive part of $U_q(\widehat{\mathfrak{sl}}_2)$

    math.QA 2025-11 conditional novelty 7.0 of 10

    Fused K-matrices with explicit Catalan-word entries satisfy Freidel-Maillet type equations for all dimensions 2j+1.

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