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Symmetry, Integrability and Geometry: Methods and Applications, 2020, Volume 16, 109, 10 pp.
DOI: https://doi.org/10.3842/SIGMA.2020.109 (Mi sigma1646) 		 
Real Part of Twisted-by-Grading Spectral Triples

Manuele Filaciab, Pierre Martinettiac

a INFN sezione di Genova, Italy
b Università di Genova – Dipartimento di Fisica, Italy
c Università di Genova – Dipartimento di Matematica, Italy
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DOI: https://doi.org/10.3842/SIGMA.2020.109
Abstract: After a brief review on the applications of twisted spectral triples to physics, we adapt to the twisted case the notion of real part of a spectral triple. In particular, when one twists a usual spectral triple by its grading, we show that – depending on the $KO$ dimension – the real part is either twisted as well, or is the intersection of the initial algebra with its opposite. We illustrate this result with the spectral triple of the standard model.
Keywords: noncommutative geometry, twisted spectral triple, standard model.
Received: September 3, 2020; in final form October 23, 2020; Published online October 29, 2020
Bibliographic databases:
Document Type: Article
MSC: 58B34, 46L87, 81T75
Language: English
Citation: Manuele Filaci, Pierre Martinetti, “Real Part of Twisted-by-Grading Spectral Triples”, SIGMA, 16 (2020), 109, 10 pp.
Citation in format AMSBIB
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