English

Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors

Quantum Algebra 2015-12-10 v2 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1305.1113,
  title  = {Boundary quantum Knizhnik-Zamolodchikov equations and Bethe vectors},
  author = {Nicolai Reshetikhin and Jasper Stokman and Bart Vlaar},
  journal= {arXiv preprint arXiv:1305.1113},
  year   = {2015}
}

Comments

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