Wilson Lines from Representations of NQ-Manifolds

Details Wilson Lines from Representations of NQ-Manifolds Wilson Lines from Representations of NQ-Manifolds

2011-08-26

arxiv.org/abs/1108.5358v1

Mathematics

Differential Geometry

37 pages

Scientific paper

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.

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