CURRENT-ALGEBRA OF SUPER WZNW MODELS

Citation
E. Abdalla et al., CURRENT-ALGEBRA OF SUPER WZNW MODELS, Journal of physics. A, mathematical and general, 27(13), 1994, pp. 4709-4715
Citations number
35
Categorie Soggetti
Physics
ISSN journal
03054470
Volume
27
Issue
13
Year of publication
1994
Pages
4709 - 4715
Database
ISI
SICI code
0305-4470(1994)27:13<4709:COSWM>2.0.ZU;2-#
Abstract
We derive the current algebra of supersymmetric principal chiral model s with a Wess-Zumino term. At the critical point one obtains two commu ting super-affine Lie algebras as expected, but, in general, them are intertwining fields connecting both right and left sectors, analogousl y to the bosonic case. Moreover, in the present supersymmetric extensi on we have a quadratic algebra, rather than an affine Lie algebra, due to the mixing between bosonic and fermionic fields; the purely fermio nic sector displays an affine Lie algebra as well.