Lorentz signature and twisted spectral triples
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep03(2018)089
Abstract: A bstractWe show how twisting the spectral triple of the Standard Model of elementary particles naturally yields the Krein space associated with the Lorentzian signature of spacetime. We discuss the associated spectral action, both for… read more here.
Keywords: signature twisted; twisted spectral; spectral triples; lorentz signature ... See more keywords
On twisted reality conditions
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DOI: 10.1007/s11005-018-1120-x
Abstract: We study the twisted reality condition of Brzeziński et al. (Math Phys Anal Geom 19(3):11, 2016), for spectral triples, in particular with respect to the product and the commutant. Motivated by this, we present the… read more here.
Keywords: reality conditions; reality; spectral triples; twisted reality ... See more keywords
Constructing KMS states from infinite-dimensional spectral triples
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2019.05.006
Abstract: We construct KMS-states from Li1-summable semifinite spectral triples and show that in several important examples the construction coincides with well-known direct constructions of KMS-states for naturally defined flows. Under further summability assumptions the constructed KMS-state… read more here.
Keywords: kms states; constructing kms; states infinite; spectral triples ... See more keywords