Lorentz signature and twisted spectral triples

Devastato, Agostino; Farnsworth, Shane; Lizzi, Fedele; Martinetti, Pierre

doi:10.1007/JHEP03(2018)089

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Lorentz signature and twisted spectral triples

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Farnsworth, Shane
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1710.04965.pdf
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Citation

Devastato, A., Farnsworth, S., Lizzi, F., & Martinetti, P. (2018). Lorentz signature and twisted spectral triples. Journal of high energy physics: JHEP, 2018(03): 089. doi:10.1007/JHEP03(2018)089.

Cite as: https://hdl.handle.net/21.11116/0000-0000-3E68-7

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 twist and Wick rotation.