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Quantum Symmetries: From Clifford and Hurwitz Algebras to M-Theory and Leech Lattices

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Abstract

We explore some consequences of a theory of internal symmetries for elementary particles based on exceptional quantum mechanical spaces based on Jordan algebra formulation that admit exceptional groups as gauge groups.

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Correspondence to Sultan Catto.

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This article is part of the Topical Collection on Proceedings ICCA 11, Ghent, 2017, edited by Hennie De Schepper, Fred Brackx, Joris van der Jeugt, Frank Sommen, and Hendrik De Bie.

Work supported in part by DOE contracts no. DE-AC-0276-ER 03074 and 03075; NSF Grant no. DMS-8917754.

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Catto, S., Gürcan, Y., Khalfan, A. et al. Quantum Symmetries: From Clifford and Hurwitz Algebras to M-Theory and Leech Lattices. Adv. Appl. Clifford Algebras 28, 81 (2018). https://doi.org/10.1007/s00006-018-0894-3

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  • DOI: https://doi.org/10.1007/s00006-018-0894-3

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