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Duality between Lorentzian twisted spectral triples and spectral triples

Published on:

8 February 2024

Primary Category:

Mathematical Physics

Paper Authors:

Gaston Nieuviarts

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Key Details

Presents duality between spectral triples and Lorentzian twisted versions

Defines new spectral triple with Lorentz invariant fermionic action

Offers original approach to Lorentzian geometry in noncommutative geometry

Provides candidate spectral triple for noncommutative standard model

AI generated summary

Duality between Lorentzian twisted spectral triples and spectral triples

This paper presents a duality between spectral triples and Lorentzian twisted spectral triples. The duality defines a new spectral triple with a Lorentz invariant fermionic action, offering an original approach to Lorentzian geometry in noncommutative geometry. It provides a candidate for the spectral triple of the noncommutative standard model of particle physics.

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