2014/04/30 by Nicolai Reshetikhin, Jasper V. Stokman, Jasper Stokman +1 · 13 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Affine transformation #Algebra over a field #Algebraic structures and combinatorial models #Boundary (topology) #Computer science #Construct (python library) #Diagonal #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Operator (biology) #Physics #Pure mathematics #Quantum #Quantum mechanics #Tensor (intrinsic definition) #Tensor product #math-ph #math.MP #math.QA
paper · pdf · doi:10.1007/s00023-014-0395-4
published in Annales Henri Poincaré 17(1), 137-177 (Birkhäuser) · 36 pages; some small additions and corrections concerning mero-uniform convergence (Defn. 6.1) and rectified some notation issues for the function \mathcal{Y} (p21 and onwards). appears in Annales Henri Poincaré, 2014
arxiv created 2014/12/19 · openalex publication_date 2015/01/02 · arxiv updated 2016/01/11 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/06
In this paper we extend our previous results concerning Jackson integral solutions of the boundary quantum Knizhnik-Zamolodchikov equations with diagonal K-operators to higher-spin representations of quantum affine \mathfraksl2. First we give a systematic exposition of known results on R-operators acting in the tensor product of evaluation representations in Verma modules over quantum \mathfraksl2. We develop the corresponding fusion of K-operators, which we use to construct diagonal K-operators in these representations. We construct Jackson integral solutions of the associated boundary quantum Knizhnik-Zamolodchikov equations and explain how in the finite-dimensional case they can be obtained from our previous results by the fusion procedure.