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Gauge theory of a group of diffeomorphisms. III. The fiber bundle description

Lord, Eric A and Goswami, P (1988) Gauge theory of a group of diffeomorphisms. III. The fiber bundle description. In: Journal of Mathematical Physics, 29 (1). 258 -267.

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A new fiber bundle approach to the gauge theory of a group G that involves space‐time symmetries as well as internal symmetries is presented. The ungauged group G is regarded as the group of left translations on a fiber bundle G(G/H,H), where H is a closed subgroup and G/H is space‐time. The Yang–Mills potential is the pullback of the Maurer–Cartan form and the Yang–Mills fields are zero. More general diffeomorphisms on the bundle space are then identified as the appropriate gauged generalizations of the left translations, and the Yang–Mills potential is identified as the pullback of the dual of a certain kind of vielbein on the group manifold. The Yang–Mills fields include a torsion on space‐time.

Item Type: Journal Article
Publication: Journal of Mathematical Physics
Publisher: American Institute of Physics
Additional Information: Copyright of this article belongs to American Institute of Physics.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Division of Physical & Mathematical Sciences > Physics
Date Deposited: 17 Sep 2010 06:56
Last Modified: 19 Sep 2010 06:16
URI: http://eprints.iisc.ac.in/id/eprint/32199

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