Lorentz signature and twisted spectral triples

Lorentz signature and twisted spectral triples

Abstract We 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 fermions and bosons. What emerges is a tight link between twists...

Full description

Bibliographic Details
Main Authors: A. Devastato, S. Farnsworth, F. Lizzi, P. Martinetti
Format: Article
Language:English
Published: SpringerOpen 2018-03-01
Series:Journal of High Energy Physics
Subjects:
Non-Commutative Geometry
Differential and Algebraic Geometry
SpaceTime Symmetries
Online Access:http://link.springer.com/article/10.1007/JHEP03(2018)089
id doaj-c30dc2ca248a4b9d9e2fc2a4a5f6852c
record_format Article
spelling doaj-c30dc2ca248a4b9d9e2fc2a4a5f6852c2020-11-25T00:13:53ZengSpringerOpenJournal of High Energy Physics1029-84792018-03-012018312110.1007/JHEP03(2018)089Lorentz signature and twisted spectral triplesA. Devastato0S. Farnsworth1F. Lizzi2P. Martinetti3INFN sezione di NapoliMax Planck Institute for Gravitational Physics (Albert Einstein Institute)INFN sezione di NapoliDipartimento di Matematica, Università di GenovaAbstract We 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 fermions and bosons. What emerges is a tight link between twists and Wick rotation.http://link.springer.com/article/10.1007/JHEP03(2018)089Non-Commutative GeometryDifferential and Algebraic GeometrySpaceTime Symmetries
collection DOAJ
language English
format Article
sources DOAJ
author A. Devastato
S. Farnsworth
F. Lizzi
P. Martinetti
spellingShingle A. Devastato
S. Farnsworth
F. Lizzi
P. Martinetti
Lorentz signature and twisted spectral triples
Journal of High Energy Physics
Non-Commutative Geometry
Differential and Algebraic Geometry
SpaceTime Symmetries
author_facet A. Devastato
S. Farnsworth
F. Lizzi
P. Martinetti
author_sort A. Devastato
title Lorentz signature and twisted spectral triples
title_short Lorentz signature and twisted spectral triples
title_full Lorentz signature and twisted spectral triples
title_fullStr Lorentz signature and twisted spectral triples
title_full_unstemmed Lorentz signature and twisted spectral triples
title_sort lorentz signature and twisted spectral triples
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2018-03-01
description Abstract We 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 fermions and bosons. What emerges is a tight link between twists and Wick rotation.
topic Non-Commutative Geometry
Differential and Algebraic Geometry
SpaceTime Symmetries
url http://link.springer.com/article/10.1007/JHEP03(2018)089
work_keys_str_mv AT adevastato lorentzsignatureandtwistedspectraltriples
AT sfarnsworth lorentzsignatureandtwistedspectraltriples
AT flizzi lorentzsignatureandtwistedspectraltriples
AT pmartinetti lorentzsignatureandtwistedspectraltriples
_version_ 1725392567440244736

Similar Items