Examples of non integer dimensional geometries

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dc.creatorTrinchero, R.
dc.date2008-09-26
dc.date2008-09-26
dc.date.accessioned2026-07-07T10:05:49Z
dc.date.available2026-07-07T10:05:49Z
dc.descriptionTwo examples of spectral triples with non-integer dimension spectrum are considered. These triples involve commutative C*-algebras. The first example has complex dimension spectrum and trivial differential algebra. The other is a parameter dependent deformation of the canonical spectral triple over S1. Its dimension spectrum includes real non-integer values. It has a non-trivial differential algebra and in contrast with the one dimensional case there are no junk forms for a non-vanishing deformation parameter. The distance on this space depends non-trivially on this parameter.
dc.description18 pages,4 figures
dc.identifierhttps://arxiv.org/abs/0809.4678
dc.identifierhttp://arxiv.org/abs/0809.4678
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170120
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleExamples of non integer dimensional geometries
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