Sugawara and vertex operator constructions for deformed Virasoro algebras
Abstract
From the defining exchange relations of the Aq,p(glN) elliptic quantum algebra, we construct subalgebras which can be characterized as q-deformed WN algebras. The consistency conditions relating the parameters p,q,N and the central charge c are shown to be related to the singularity structure of the functional coefficients defining the exchange relations of specific vertex operators representations of Aq,p(glN) available when N=2.
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.