W Algebras and Superalgebras from Constrained WZW Models: A Group Theoretical Classification
In: Communications in Mathematical Physics Communications in Mathematical Physics, Springer Verlag, 1993, 157, pp.499 Comm. Math. Phys. 157, no. 3 (1993), 499-548; (1993)
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Zugriff:
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 $s\leq2$) is easily obtained as a byproduct of our general results.
Comment: 66 pages (Latex), ENSLAPPP-A-391/92 Replaces previous unLatexable version, corrupted by mailer
| Titel: |
W Algebras and Superalgebras from Constrained WZW Models: A Group Theoretical Classification
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| Autor/in / Beteiligte Person: | Sorba, P. ; Ragoucy, Eric ; Frappat, Luc ; Laboratoire d'Annecy-le-Vieux de Physique Théorique (LAPTH) ; Université Savoie Mont Blanc (USMB [Université de Savoie] [Université de Chambéry])-Centre National de la Recherche Scientifique (CNRS) |
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| Quelle: | Communications in Mathematical Physics Communications in Mathematical Physics, Springer Verlag, 1993, 157, pp.499 Comm. Math. Phys. 157, no. 3 (1993), 499-548; (1993) |
| Veröffentlichung: | HAL CCSD, 1993 |
| Medientyp: | unknown |
| ISSN: | 0010-3616 (print) ; 1432-0916 (print) |
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