ON A NEW SUPERSYMMETRIC KDV HIERARCHY IN 2-D QUANTUM SUPERGRAVITY

Authors
FIGUEROAOFARRILL JM STANCIU S
Citation
Jm. Figueroaofarrill et S. Stanciu, ON A NEW SUPERSYMMETRIC KDV HIERARCHY IN 2-D QUANTUM SUPERGRAVITY, Physics letters. Section B, 316(2-3), 1993, pp. 282-290
Citations number
17
Categorie Soggetti
Physics
Journal title
Physics letters. Section B → ACNP
ISSN journal
03702693
Volume
316
Issue
2-3
Year of publication
1993
Pages
282 - 290
Database
ISI
SICI code
0370-2693(1993)316:2-3<282:OANSKH>2.0.ZU;2-M
Abstract
Recently a new supersymmetric extension of the KdV hierarchy has appea red in a matrix-model-inspired approach to 2-d quantum supergravity. H ere we prove that this hierarchy is essentially the KdV hierarchy, whe re the KdV field is now replaced by an even superfield. This allows us to find the conserved charges and the bihamiltonian structure, and to prove its integrability. We also extend the hierarchy by odd flows in a supersymmetric fashion.