2014/01/17 by Ludmil Hadjiivanov, Hadjiivanov, Ludmil, P. Furlan +2
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories #Quantum Algebra (math.QA) #hep-th #math-ph #math.MP #math.QA
paper · pdf · doi:10.48550/arxiv.1401.4394
10 pages, Talk presented by L.H. at the International Workshop LT10 (17-23 June 2013, Varna, Bulgaria)
arxiv created 2014/01/17 · openalex publication_date 2014/01/17 · arxiv updated 2014/01/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A quantum group covariant extension of the chiral parts of the Wess-Zumino-Novikov-Witten model on a compact Lie group G gives rise to two matrix algebras with non-commutative entries. These are generated by "chiral zero modes" which combine in the 2D model into "Q-operators" which encode information about the internal symmetry and the fusion ring. We review earlier results about the SU(n) WZNW Q-algebra and its Fock representation for n=2 and display the first steps towards their generalization to higher n.