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Krein Spectral Triples and the Fermionic Action

Van Den Dungen, Koen


Motivated by the space of spinors on a Lorentzian manifold, we define Krein spectral triples, which generalise spectral triples from Hilbert spaces to Krein spaces. This Krein space approach allows for an improved formulation of the fermionic action for almost-commutative manifolds. We show by explicit calculation that this action functional recovers the correct Lagrangians for the cases of electrodynamics, the electro-weak theory, and the Standard Model. The description of these examples does...[Show more]

CollectionsANU Research Publications
Date published: 2016
Type: Journal article
Source: Mathematical Physics Analysis and Geometry
DOI: 10.1007/s11040-016-9207-z


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