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High Energy Physics - Theory

Title: Lorentz signature and twisted spectral triples

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.
Comments: minor corrections. To be published in JHEP
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); Mathematical Physics (math-ph)
Cite as: arXiv:1710.04965 [hep-th]
  (or arXiv:1710.04965v2 [hep-th] for this version)

Submission history

From: Pierre Martinetti [view email]
[v1] Fri, 13 Oct 2017 15:28:54 GMT (20kb)
[v2] Sun, 18 Mar 2018 17:51:47 GMT (23kb)