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The standard model of particle physics from non-commutative geometry: a new perspective

Speaker: 
Latham Boyle
Institution: 
Perimeter Institute (Canada)
Schedule: 
Thursday, August 13, 2015 - 11:00
Location: 
A-136
Abstract: 

Non-commutative geometry (NCG) is of special physical interestsince, as emphasized by Connes and others, it offers a novel geometricexplanation for certain otherwise-unexplained features of the standardmodel of particle physics.  In two recent papers (arXiv:1401.5083 andarXiv:1408.5367) we suggested a reformulation of NCG which had certainmathematical and physical advantages (compared to the traditional "spectraltriple" formulation), but also two key problems.  Recently, Brouder, Biziand Besnard (arXiv:1504.03890) pointed out how to naturally resolve thoseproblems.  Building upon Brouder et al's insight, I will present resultsfrom a forthcoming paper (with Shane Farnsworth), where we suggest areformulation of NCG in which the fundamental object is an algebra that wecall Omega B.  In this reformulation, the traditional NCG axioms arestrikingly simplified and unified; a number of problematic issues in thetraditional NCG construction of the standard model are resolved; and acertain extension of the standard model of particle physics (with two newparticles) is predicted.

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