Semistrict Higher Gauge Theory
Abstract
We develop semistrict higher gauge theory from first principles. In particular, we describe the differential Deligne cohomology underlying semistrict principal 2-bundles with connective structures. Principal 2-bundles are obtained in terms of weak 2-functors from the Cech groupoid to weak Lie 2-groups. As is demonstrated, some of these Lie 2-groups can be differentiated to semistrict Lie 2-algebras by a method due to Severa. We further derive the full description of connective structures on semistrict principal 2-bundles including the non-linear gauge transformations. As an application, we use a twistor construction to derive superconformal constraint equations in six dimensions for a non-Abelian N=(2,0) tensor multiplet taking values in a semistrict Lie 2-algebra.
Cite
@article{arxiv.1403.7185,
title = {Semistrict Higher Gauge Theory},
author = {Branislav Jurco and Christian Saemann and Martin Wolf},
journal= {arXiv preprint arXiv:1403.7185},
year = {2015}
}
Comments
v4: 76 pages, minor errors fixed, published version