Higher gauge theories from Lie nalgebras and offshell covariantization
Abstract
We analyze higher gauge theories in various dimensions using a supergeometric method based on a differential graded symplectic manifold, called a QPmanifold, which is closely related to the BRSTBV formalism in gauge theories. Extensions of the Lie 2algebra gauge structure are formulated within the Lie nalgebra induced by the QPstructure. 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 offshell covariantized higher gauge theory in 5 dimensions, which is similar to the one proposed in [1].
 Publication:

Journal of High Energy Physics
 Pub Date:
 July 2016
 DOI:
 10.1007/JHEP07(2016)125
 arXiv:
 arXiv:1606.03861
 Bibcode:
 2016JHEP...07..125C
 Keywords:

 Differential and Algebraic Geometry;
 Gauge Symmetry;
 MTheory;
 Topological Strings;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 39 pages