ISSN:
1573-0530
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract We investigate the positive energy representations (also called highest weight representations) of the gauge groupC ∞ (T v,G 0),G 0 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00570762
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