1999/10/26 by Michel Dubois‐Violette, M. Dubois-Violette, Dubois-Violette, M. +13 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #hep-th #math-ph #math.MP #math.QA
paper · pdf · doi:10.48550/arxiv.hep-th/9910206
20 pages, LATEX. Talk presented by I.T. Todorov at the International symposium "Quantum Theory and Symmetries"' 18-22 July 1999, Goslar, Germany
arxiv created 1999/10/26 · openalex publication_date 1999/10/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The left and right zero modes of the level k SU(n) WZNW model give rise to a pair of isomorphic (left and right) mutually commuting quantum matrix algebras. For a deformation parameter q being an even (2h-th, h = k + n) root of unity each of these matrix algebras admits an ideal such that the corresponding factor algebra is finite dimensional. The structure of superselection sectors of the (diagonal) 2D WZNW model is then reduced to a finite dimensional problem of a gauge theory type. For n=2 this problem is solved using a generalized BRS formalism.