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Lorentz signature and twisted spectral triples

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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… Click to show full 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 fermions and bosons. What emerges is a tight link between twists and Wick rotation.

Keywords: signature twisted; twisted spectral; spectral triples; lorentz signature; signature

Journal Title: Journal of High Energy Physics
Year Published: 2017

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