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19 January 2025
 
  » arxiv » hep-th/9207102

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W Algebras and Superalgebras from Constrained WZW Models: A Group Theoretical Classification
L. Frappat ; E. Ragoucy ; P. Sorba ;
Date 29 Jul 1992
Journal Commun. Math. Phys. 157 (1993) 499-548
Subject hep-th
AbstractWe 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 $sleq2$) is easily obtained as a byproduct of our general results.
Source arXiv, hep-th/9207102
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