1994/04/21 by Noureddine Mohammedi, Noureddine Mphammedi · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.1016/0370-2693(94)90947-4
published as Phys.Lett. B331 (1994) 93-98 · 10 pages, Latexfile, BONN-TH-94-03
arxiv created 1994/04/21 · openalex publication_date 1994/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The affine current algebra for Lie superalgebras is examined. The bilinear invariant forms of the Lie superalgebra can be either degenerate or non-degenerate. We give the conditions for a Virasoro construction, in which the currents are primary fields of weight one, to exist. In certain cases, the Virasoro central charge is an integer equal to the super dimension of the group supermanifold. A Wess-Zumino-Novikov-Witten action based on these Lie superalgebras is also found.