HIGHER-DIMENSIONAL LOOP ALGEBRAS, NON-ABELIAN EXTENSIONS AND P-BRANES

Citation
M. Cederwall et al., HIGHER-DIMENSIONAL LOOP ALGEBRAS, NON-ABELIAN EXTENSIONS AND P-BRANES, Nuclear physics. B, 424(1), 1994, pp. 97-123
Citations number
38
Categorie Soggetti
Physics, Nuclear
Journal title
ISSN journal
05503213
Volume
424
Issue
1
Year of publication
1994
Pages
97 - 123
Database
ISI
SICI code
0550-3213(1994)424:1<97:HLANEA>2.0.ZU;2-5
Abstract
We postulate a new type of operator algebra with a non-abelian extensi on. This algebra generalizes the Kac-Moody algebra in string theory an d the Mickelsson-Faddeev algebra in three dimensions to higher-dimensi onal extended objects (p-branes). We then construct new BRST operators , covariant derivatives and curvature tensors in the higher-dimensiona l generalization of loop space.