GENERALIZED INTEGRABILITY AND 2-DIMENSIONAL GRAVITATION

Citation
T. Hollowood et al., GENERALIZED INTEGRABILITY AND 2-DIMENSIONAL GRAVITATION, Theoretical and mathematical physics, 95(2), 1993, pp. 552-567
Citations number
82
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
ISSN journal
00405779
Volume
95
Issue
2
Year of publication
1993
Pages
552 - 567
Database
ISI
SICI code
0040-5779(1993)95:2<552:GIA2G>2.0.ZU;2-4
Abstract
We review the construction of generalized integrable hierarchies of pa rtial differential equations, associated to affine Kac-Moody algebras, that include those considered by Drinfel'd and Sokolov. These hierarc hies can be used to construct new models of 2D quantum or topological gravity, as well as new W-algebras.