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Wilson Lines from Representations of NQ-Manifolds
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2014 (English)In: International mathematics research notices, ISSN 1073-7928, E-ISSN 1687-0247, no 9, 2440-2493 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2014. no 9, 2440-2493 p.
Keyword [en]
field theory: vector | Wilson loop | differential geometry | holonomy | superfield
National Category
Subatomic Physics
Research subject
Theoretical Physics
URN: urn:nbn:se:uu:diva-196362DOI: 10.1093/imrn/rns287ISI: 000335920300006OAI: oai:DiVA.org:uu-196362DiVA: diva2:609981
Available from: 2013-03-08 Created: 2013-03-08 Last updated: 2014-06-27Bibliographically approved

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Publisher's full texthttp://arXiv.org/pdf/1108.5358.pdf
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