Zamolodchikov operator-valued relations for SL(2,R)k WZNW model
Abstract
An infinite set of operator-valued relations that hold for reducible representations of the sl(2)k algebra is derived. These relations are analogous to those recently obtained by Zamolodchikov which involve logarithmic fields associated to the Virasoro degenerate representations in Liouville theory. The fusion rules of the sl(2)k algebra turn out to be a crucial step in the analysis. The possible relevance of these relations for the boundary theory in the AdS3/CFT2 correspondence is suggested.
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.