On the infinitesimal Gauge Symmetries of closed forms

Details On the infinitesimal Gauge Symmetries of closed forms On the infinitesimal Gauge Symmetries of closed forms

2010-10-11

arxiv.org/abs/1010.2189v3

Mathematics

Differential Geometry

35 pages; Journal Geometric Mechanics, Vol. 3, No 3, 2011

Scientific paper

Motivated by the relationship between symplectic fibrations and classical
Yang-Mills theories, we study the closeness 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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