Wilson Lines from Representations of NQ-Manifolds

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.

37 pages

References in corpus (2)

• AKSZ-BV Formalism and Courant Algebroid-induced Topological Field Theories
• Knot Invariants and New Weight Systems from General 3D TFTs

Cited by in corpus (1)

• Supersymmetric Poisson and Poisson-supersymmetric sigma models