Infinitesimal gauge symmetries of closed forms

Olivier Brahic

doi:10.3934/jgm.2011.3.277

Article Contents

2011, Volume 3, Issue 3: 277-312. Doi: 10.3934/jgm.2011.3.277

This issue Previous Article Next Article Euler equations on a semi-direct product of the diffeomorphisms group by itself

Infinitesimal gauge symmetries of closed forms

Olivier Brahic^1,

1.
Instituto Superior Técnico, dep. de Matemática, Av. Rovisco Pais 1049-001 Lisboa

Received: March 31, 2011

Revised: September 30, 2011

Published: August 2011

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Abstract

Motivated by the relationship between symplectic fibrations and classical Yang-Mills theories, we study the closedness of a $n$-form ($n$=2,3) defined on the total space of a fibration as a simple model for an abstract field theory. We introduce $2$-plectic fibrations and interpret geometrically the corresponding equations for coupling in terms of higher analogues of connections.

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Mathematics Subject Classification: Primary: 53C8, 70S15; Secondary: 55R20.

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