A new formulation of higher parallel transport in higher gauge theory
High Energy Physics - Theory
2015-12-09 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
In this technical paper, we present a new formulation of higher parallel transport in strict higher gauge theory required for the rigorous construction of Wilson lines and surfaces. Our approach is based on an original notion of Lie crossed module cocycle and cocycle 1- and 2-gauge transformation with a non standard double category theoretic interpretation. We show its equivalence to earlier formulations.
Keywords
Cite
@article{arxiv.1410.0775,
title = {A new formulation of higher parallel transport in higher gauge theory},
author = {Emanuele Soncini and Roberto Zucchini},
journal= {arXiv preprint arXiv:1410.0775},
year = {2015}
}
Comments
Latex, 91 pages, no figures