Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors

preprint2014arXivOpen access

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 Uq(sl(2)^)U_q(\hat{\frak{sl}(2)}) is involved. We also consider their rational and classical degenerations.

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