Exceptional Lie Algebras at the very Foundations of Space and Time

2015/06/29 by Alessio Marrani, Marrani, Alessio, Piero Truini +1
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Rings and Algebras (math.RA) #hep-th #math-ph #math.MP #math.RA

paper · pdf · doi:10.48550/arxiv.1506.08576

Talk presented by P.T. at the Conference 'Group Theory, Probability, and the Structure of Spacetime' in honor of V.S.Varadarajan, UCLA Department of Mathematics, November 7--9, 2014. To appear in a special issue of 'p-Adic Numbers, Ultrametric Analysis and Applications' . Comments welcome

arxiv created 2015/06/29 · arxiv updated 2015/06/30

Abstract

While describing the results of our recent work on exceptional Lie and Jordan algebras, so tightly intertwined in their connection with elementary particles, we will try to stimulate a critical discussion on the nature of spacetime and indicate how these algebraic structures can inspire a new way of going beyond the current knowledge of fundamental physics.

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• Exceptional Lie Algebras, SU(3) and Jordan Pairs
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• Exceptional Groups and Physics