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Real Part of Twisted-by-Grading Spectral Triples
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Manuele Filaci and Pierre Martinetti},
     title = {Real {Part} of {Twisted-by-Grading} {Spectral} {Triples}},
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     volume = {16},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a108/}
}
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Manuele Filaci; Pierre Martinetti. Real Part of Twisted-by-Grading Spectral Triples. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a108/

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