Exchange Relations for the q-Vertex Operators of Uq(sl2)
Abstract
We consider the q-deformed Knizhnik-Zamolodchikov equation for the two point function of q-deformed vertex operators of Uq(sl2). We give explicitly the fundamental solutions, the connection matrices and the exchange relations for the q-vertex operators of spin 1/2 and j ∈ 1 2 Z≥ 0. Consequently, we confirm that the connection matrices are equivalent to the elliptic Boltzman weights of IRF type obtained by the fusion procedure from ABF models.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.