1992/07/31 by L. Frappat, E. Ragoucy, P. Sorba · 1 citation
Mathematics · Physics and Astronomy · #Abelian group #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Class (philosophy) #Conformal field theory #Conformal map #Homotopy and Cohomology in Algebraic Topology #Lie algebra #Lie conformal algebra #Simple (philosophy) #Subalgebra #hep-th
paper · pdf · doi:10.1007/bf02096881
published as Commun.Math.Phys. 157 (1993) 499-548 · 66 pages (Latex), ENSLAPPP-A-391/92 Replaces previous unLatexable version, corrupted by mailer
arxiv created 1992/09/01 · openalex publication_date 1993/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a classification of W algebras and superalgebras arising in Abelian as well as non Abelian Toda theories. Each model, obtained from a constrained WZW action, is related with an Sl(2) subalgebra (resp. OSp(1|2) superalgebra) of a simple Lie algebra (resp. superalgebra) \cg. However, the determination of an U(1)Y factor, commuting with Sl(2) (resp. OSp(1|2)), appears, when it exists, particularly useful to characterize the corresponding W algebra. The (super) conformal spin contents of each W (super)algebra is performed. The class of all the superconformal algebras (i.e. with conformal spins s≤2) is easily obtained as a byproduct of our general results.