Reference : Wilson Lines from Representations of NQ-Manifolds
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/13524
Wilson Lines from Representations of NQ-Manifolds
English
Bonechi, Francesco [Florence University]
Zabzine, Maxim [Uppsala University]
Qiu, Jian mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Jan-2013
International Mathematics Research Notices
Oxford University Press
2013
24
Yes (verified by ORBilu)
International
1073-7928
1687-0247
Oxford
United Kingdom
[en] NQ-manifolds ; generalised holonomy ; flat connection
[en] An NQ-manifold is a nonnegatively 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.
Researchers
http://hdl.handle.net/10993/13524
10.1093/imrn/rns287
http://arxiv.org/abs/1108.5358

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