2009/07/31 by Thomas Creutzig, Peter B. Rønne, Peter B. Ronne +1
Chemistry · Mathematics · Physics and Astronomy · #Algebra over a field #Black Holes and Theoretical Physics #Chemistry #Computer science #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Ring (chemistry) #Space (punctuation) #Supersymmetry #hep-th
paper · pdf · doi:10.1103/physrevd.80.066010
published as Phys.Rev.D80:066010,2009 · 7 pages; v2: Typos corrected, three references added
openalex publication_date 2009/09/29 · arxiv created 2010/01/21 · arxiv updated 2010/02/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We extend the Kazama-Suzuki construction of models with N=(2,2) world-sheet supersymmetry to cosets S/K of supergroups. Among the admissible target spaces that allow for an extension to N=2 superconformal algebras are some simple Lie supergroups, including PSL(N|N). Our general analysis is illustrated at the example of the N=1 Wess-Zumino-Novikov-Witten model on GL(1|1). After constructing its N=2 superconformal algebra we determine the (anti-)chiral ring of the theory. It exhibits an interesting interplay between world-sheet and target space supersymmetry.