Unitary positive energy representations of the gauge group |
| |
Authors: | Bruno Torresani |
| |
Affiliation: | (1) Centre de Physique Théorique, CNRS, Luminy, Case 907, F13288 Marseille Cedex 9, France |
| |
Abstract: | We investigate the positive energy representations (also called highest weight representations) of the gauge groupC (Tv,G0),G0 being a compact simple Lie group, and discuss their unitarity, using the technique of Verma modules constructed from generalized loop algebras (a simple generalization of Kac-Moody affine Lie algebras). We show that the unitarity of the representation imposes severa restrictions in it. In particular, we show, as a part of a more general result, that the gauge group does not admit faithful unitary positive energy representations.Allocataire du MRT. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|