Lorentz signature and twisted spectral triples
High Energy Physics - Theory
2020-05-20 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1710.04965,
title = {Lorentz signature and twisted spectral triples},
author = {Agostino Devastato and Shane Farnsworth and Fedele Lizzi and Pierre Martinetti},
journal= {arXiv preprint arXiv:1710.04965},
year = {2020}
}
Comments
minor corrections. To be published in JHEP