Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-04-24
Phys.Lett. B465 (1999) 169-176
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, latex file, La Plata preprint Th-99/01. Minor changes in the introduction, version to appear in Physics Letters B
Scientific paper
10.1016/S0370-2693(99)00936-3
We obtain local parametrizations of classical non-compact Lie groups where adjoint invariants under maximal compact subgroups are manifest. Extension to non compact subgroups is straightforward. As a by-product parametrizations of the same type are obtained for compact groups. They are of physical interest in any theory gauge invariant under the adjoint action, typical examples being the two dimensional gauged Wess-Zumino-Witten-Novikov models where these coordinatizations become of extreme usefulness to get the background fields representing the vacuum expectation values of the massless modes of the associated (super) string theory.
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