- Boundary Quantum Knizhnik-Zamolodchikov Equations and Fusion
- Annales Henri Poincaré
- Volume | Issue number
- 17 | 1
- Pages (from-to)
- Document type
- Faculty of Science (FNWI)
- Korteweg-de Vries Institute for Mathematics (KdVI)
In this paper we extend our previous results concerning Jackson integral solutions of the boundary quantum Knizhnik-Zamolodchikov (qKZ) equations with diagonal K-operators to higher spin representations of quantum affine sl2. 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 sl2. 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 qKZ equations and explain how in the finite-dimensional case they can be obtained from our previous results by the fusion procedure.
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