1998/01/07 by E. Batista, E Batista, J. F. Gomes +3
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #math.QA
paper · pdf · doi:10.1088/0305-4470/31/29/001
6 pages, latex
arxiv created 1998/01/07 · openalex publication_date 1998/07/24 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
In this paper we employ the construction of the Dirac bracket for the remaining current of deformed Kac - Moody algebra when constraints similar to those connecting the sl (2)-Wess - Zumino - Witten model and the Liouville theory are imposed to show that it satisfies the q -Virasoro algebra proposed by Frenkel and Reshetikhin. The crucial assumption considered in our calculation is the existence of a classical Poisson bracket algebra induced in a consistent manner by the correspondence principle, mapping the quantum generators into commuting objects of classical nature preserving their algebra.