Higher Gauge Theories from Lie n-algebras and Off-Shell Covariantization
High Energy Physics - Theory
2016-08-24 v1 Mathematical Physics
math.MP
Abstract
We analyze higher gauge theories in various dimensions using a supergeometric method based on a differential graded symplectic manifold, called a QP-manifold, which is closely related to the BRST-BV formalism in gauge theories. Extensions of the Lie 2-algebra gauge structure are formulated within the Lie n-algebra induced by the QP-structure. We find that in 5 and 6 dimensions there are special extensions of the gauge algebra. In these cases, a restriction of the gauge symmetry by imposing constraints on the auxiliary gauge fields leads to a covariantized theory. As an example we show that we can obtain an off-shell covariantized higher gauge theory in 5 dimensions, which is similar to the one proposed in [1] (arxiv:1206.5643).
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Cite
@article{arxiv.1606.03861,
title = {Higher Gauge Theories from Lie n-algebras and Off-Shell Covariantization},
author = {Ursula Carow-Watamura and Marc Andre Heller and Noriaki Ikeda and Yukio Kaneko and Satoshi Watamura},
journal= {arXiv preprint arXiv:1606.03861},
year = {2016}
}
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39 pages