Wilson Lines from Representations of NQ-Manifolds
Differential Geometry
2014-11-26 v1 High Energy Physics - Theory
Abstract
An NQ-manifold is a non-negatively graded supermanifold with a degree 1 homological vector field. The focus of this paper is to define the Wilson loops/lines in the context of NQ-manifolds and to study their properties. The Wilson loops/lines, which give the holonomy or parallel transport, are familiar objects in usual differential geometry, we analyze the subtleties in the generalization to the NQ-setting and we also sketch some possible applications of our construction.
Keywords
Cite
@article{arxiv.1108.5358,
title = {Wilson Lines from Representations of NQ-Manifolds},
author = {Francesco Bonechi and Jian Qiu and Maxim Zabzine},
journal= {arXiv preprint arXiv:1108.5358},
year = {2014}
}
Comments
37 pages