CLASSICAL N=1 AND N=2 SUPER-W ALGEBRAS FROM A ZERO-CURVATURE CONDITION

Authors
GIERES F THEISEN S
Citation
F. Gieres et S. Theisen, CLASSICAL N=1 AND N=2 SUPER-W ALGEBRAS FROM A ZERO-CURVATURE CONDITION, International journal of modern physics A, 9(3), 1994, pp. 383-398
Citations number
20
Categorie Soggetti
Physics, Particles & Fields","Physics, Nuclear
Journal title
International journal of modern physics A → ACNP
ISSN journal
0217751X
Volume
9
Issue
3
Year of publication
1994
Pages
383 - 398
Database
ISI
SICI code
0217-751X(1994)9:3<383:CNANSA>2.0.ZU;2-0
Abstract
Starting from superdifferential operators in an N = 1 superfield formu lation, we present a systematic prescription for the derivation of cla ssical N = 1 and N = 2 super W algebras by imposing a zero-curvature c ondition on the connection of the corresponding first-order system. We illustrate the procedure on the first nontrivial example (beyond the N = 1 superconformal algebra) and also comment on the relation with th e Gelfand-Dickey construction of W algebras.