Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-11-02
Phys.Rev.D33:991-996,1986
Physics
High Energy Physics
High Energy Physics - Theory
12 page Latex file with some minor misprint corrections and added color for article originally published in black and white
Scientific paper
10.1103/PhysRevD.33.991
The general purpose bitensorially gauge-covariant differentiation procedure set up in the preceding article is specialised to the particular case of bundles with nonlinear fibres that are endowed with a torsion free Riemannian or pseudo-Riemannian structure. This formalism is used to generalize the class of harmonic mappings between Riemannian or pseudo-Riemannian spaces to a natural gauge coupled extension in the form of a class of field sections of a bundle having the original image space as fibre, with a nonintegrable gauge connection $\Amr$ belonging to the algebra of the isometry group of the fibre space. The Bunting identity that can be used for establishing uniqueness in the strictly positive Riemannian case with negative image space curvature is shown to be generalizable to this gauge coupled extension.
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