On the infinitesimal Gauge Symmetries of closed forms
Differential Geometry
2011-12-07 v3 Mathematical Physics
math.MP
Abstract
Motivated by the relationship between symplectic fibrations and classical Yang-Mills theories, we study the closeness of a -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.
Keywords
Cite
@article{arxiv.1010.2189,
title = {On the infinitesimal Gauge Symmetries of closed forms},
author = {Olivier Brahic},
journal= {arXiv preprint arXiv:1010.2189},
year = {2011}
}
Comments
35 pages; Journal Geometric Mechanics, Vol. 3, No 3, 2011