A Cubical Set Approach to 2-Bundles with Connection and Wilson Surfaces
Category Theory
2010-01-26 v3 High Energy Physics - Theory
Differential Geometry
Abstract
In the context of non-abelian gerbes we define a cubical version of categorical group 2-bundles with connection over a smooth manifold. We define their two-dimensional parallel transport, study its properties, and define non-abelian Wilson surface functionals.
Cite
@article{arxiv.0808.3964,
title = {A Cubical Set Approach to 2-Bundles with Connection and Wilson Surfaces},
author = {Joao Faria Martins and Roger Picken},
journal= {arXiv preprint arXiv:0808.3964},
year = {2010}
}
Comments
Improvement on the exposition. Approximately 60 pages, 2 figures