English

Solutions of the $U_q(\widehat{\mathfrak{sl}}_N)$ reflection equations

Mathematical Physics 2018-07-11 v2 High Energy Physics - Theory math.MP Exactly Solvable and Integrable Systems

Abstract

We find the complete set of invertible solutions of the untwisted and twisted reflection equations for the Bazhanov-Jimbo R-matrix of type AN1(1){\mathrm A}^{(1)}_{N-1}. We also show that all invertible solutions can be obtained by an appropriate affinization procedure from solutions of the constant untwisted and twisted reflection equations.

Keywords

Cite

@article{arxiv.1803.06491,
  title  = {Solutions of the $U_q(\widehat{\mathfrak{sl}}_N)$ reflection equations},
  author = {Vidas Regelskis and Bart Vlaar},
  journal= {arXiv preprint arXiv:1803.06491},
  year   = {2018}
}

Comments

32 pages; v.2 minor corrections; accepted to J.Phys.A