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Article overview
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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 | Abstract: | 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 $sleq2$) is easily obtained as a byproduct of our general results. | Source: | arXiv, hep-th/9207102 | Services: | Forum | Review | PDF | Favorites |
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