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On globally non-trivial almost-commutative manifolds

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dc.contributor.authorBoeijink, Jord
dc.contributor.authorVan Den Dungen, Koen
dc.date.accessioned2015-10-27T03:33:16Z
dc.date.available2015-10-27T03:33:16Z
dc.date.issued2014-10-27
dc.date.updated2015-12-11T09:18:38Z
dc.description.abstractWithin the framework of Connes' noncommutative geometry, we define and study globally non-trivial (or topologically non-trivial) almost-commutative manifolds. In particular, we focus on those almost-commutative manifolds that lead to a description of a (classical) gauge theory on the underlying base manifold. Such an almost-commutative manifold is described in terms of a 'principal module', which we build from a principal fibre bundle and a finite spectral triple. We also define the purely algebraic notion of 'gauge modules', and show that this yields a proper subclass of the principal modules. We describe how a principal module leads to the description of a gauge theory, and we provide two basic yet illustrative examples.
dc.description.sponsorshipJord Boeijink acknowledges support from NWO via the GQT-cluster. Koen van den Dungen acknowledges support from both the Australian National University and the University of Wollongong.en_AU
dc.identifier.issn0022-2488en_AU
dc.identifier.urihttp://hdl.handle.net/1885/16124
dc.publisherAmerican Institute of Physics (AIP)
dc.rightshttp://www.sherpa.ac.uk/romeo/issn/0022-2488..."Publishers version/PDF may be used on author's personal website, institutional website or institutional repository" from SHERPA/RoMEO site (as at 26/10/15). Copyright 2014 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in Journal of Mathematical Physics and may be found at https://doi.org/10.1063/1.4898769
dc.sourceJournal of Mathematical Physics
dc.titleOn globally non-trivial almost-commutative manifolds
dc.typeJournal article
local.bibliographicCitation.issue10en_AU
local.bibliographicCitation.lastpage33
local.bibliographicCitation.startpage103508en_AU
local.contributor.affiliationBoeijink, Jord, Radboud University Nijmegen, Netherlandsen_AU
local.contributor.affiliationVan Den Dungen, Koen, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Centre for Mathematics and Its Applications, The Australian National Universityen_AU
local.contributor.authoruidu5056155en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor010100en_AU
local.identifier.ariespublicationU3488905xPUB4938en_AU
local.identifier.citationvolume55en_AU
local.identifier.doi10.1063/1.4898769en_AU
local.identifier.scopusID2-s2.0-84910033635
local.publisher.urlhttps://www.aip.org/en_AU
local.type.statusPublished Versionen_AU

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