On Twisting Real Spectral Triples by Algebra Automorphisms

We systematically investigate ways to twist a real spectral triple via an algebra automorphism and in particular, we naturally define a twisted partner for any real graded spectral triple. Among other things, we investigate consequences of the twisting on the fluctuations of the metric and possible...

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Bibliographic Details
Published in:Letters in mathematical physics Vol. 106; no. 11; pp. 1499 - 1530
Main Authors: Landi, Giovanni, Martinetti, Pierre
Format: Journal Article
Language:English
Published: Dordrecht Springer Netherlands 01.11.2016
Springer Nature B.V
Subjects:
Automorphisms
Complex Systems
Geometry
Group Theory and Generalizations
Mathematical and Computational Physics
Particle physics
Physics
Physics and Astronomy
Quarks
Spectra
Standard model (particle physics)
Theoretical
Twisting
standard model of elementary particles
Primary 58B34
twisted metric fluctuations
noncommutative geometry
Secondary 81775
twisted real spectral triples
spectral triples
47L87
ISSN:0377-9017, 1573-0530
Online Access:Get full text
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Summary:We systematically investigate ways to twist a real spectral triple via an algebra automorphism and in particular, we naturally define a twisted partner for any real graded spectral triple. Among other things, we investigate consequences of the twisting on the fluctuations of the metric and possible applications to the spectral approach to the Standard Model of particle physics.
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content type line 14
ISSN:0377-9017
1573-0530
DOI:10.1007/s11005-016-0880-4