SUPERSYMMETRIC DRINFELD-SOKOLOV REDUCTION

Authors
DELDUC F GALLOT L
Citation
F. Delduc et L. Gallot, SUPERSYMMETRIC DRINFELD-SOKOLOV REDUCTION, Journal of mathematical physics, 39(9), 1998, pp. 4729-4745
Citations number
22
Categorie Soggetti
Physycs, Mathematical","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
39
Issue
9
Year of publication
1998
Pages
4729 - 4745
Database
ISI
SICI code
0022-2488(1998)39:9<4729:SDR>2.0.ZU;2-Q
Abstract
The Drinfeld-Sokolov construction of integrable hierarchies, as well a s its generalizations, may be extended to the case of loop superalgebr as. A sufficient condition on the algebraic data for the resulting hie rarchy to be invariant under supersymmetry transformation is given. Th e method used is a construction of the hierarchies in superspace, wher e supersymmetry is manifest. Several examples are discussed. (C) 1998 American Institute of Physics.