## Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors

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### Publication details

Journal Communications in Mathematical Physics E-pub ahead of print - 26 Nov 2014 Published (current) - Jun 2015 2 336 953–986 26/11/14 English

### 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.

### Bibliographical note

32 pages - some typos fixed, changed some terminology to conform to existing nomenclature (incl. change in title)
© 2016 Springer International Publishing AG. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details

### Research areas

• math.QA, math-ph, math.MP

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