Article (Scientific journals)
Wilson Lines from Representations of NQ-Manifolds
Bonechi, Francesco; Zabzine, Maxim; Qiu, Jian
2013In International Mathematics Research Notices, 2013 (24)
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Keywords :
NQ-manifolds; generalised holonomy; flat connection
Abstract :
[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.
Disciplines :
Mathematics
Author, co-author :
Bonechi, Francesco;  Florence University
Zabzine, Maxim;  Uppsala University
Qiu, Jian ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
External co-authors :
yes
Language :
English
Title :
Wilson Lines from Representations of NQ-Manifolds
Publication date :
January 2013
Journal title :
International Mathematics Research Notices
ISSN :
1687-0247
Publisher :
Oxford University Press, Oxford, United Kingdom
Volume :
2013
Issue :
24
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBilu :
since 20 December 2013

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