Lorentz signature and twisted spectral triples

Author:

Devastato A.,Farnsworth S.,Lizzi F.ORCID,Martinetti P.

Abstract

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.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Cited by 20 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

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3. A critical survey of twisted spectral triples beyond the Standard Model;Journal of Physics A: Mathematical and Theoretical;2023-03-20

4. Lorentzian fermionic action by twisting Euclidean spectral triples;Journal of Noncommutative Geometry;2022-08-23

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