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Krein spectral triples and the fermionic action

Koen van den Dungen
Institution: 
SISSA
Schedule: 
Friday, October 23, 2015 - 11:30
Location: 
A-136
Abstract: 

Motivated by the space of spinors on a Lorentzian manifold, I will defineKrein spectral triples, which generalise spectral triples from Hilbertspaces to Krein spaces. I will show that this Krein space approach allowsfor an improved formulation of the fermionic action for almost-commutativemanifolds, which is used to derive the Lagrangian fornoncommutative-geometric descriptions of particle physics models.This talk is based on arXiv:1505.01939.

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