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The Magic of Being Exceptional

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arxiv 1811.11208 v1 pith:4GSQ2ELS submitted 2018-11-27 hep-th math-phmath.MPmath.RAmath.RT

Alessio Marrani , Piero Truini , Michael Rios This is my paper · ORCID
classification hep-thmath-phmath.MPmath.RAmath.RT
keywords exceptionalmagicalgebrasjordanstaralgebraicembeddingrank-3
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Starting from the Jordan algebraic interpretation of the "Magic Star" embedding within the exceptional sequence of simple Lie algebras, we exploit the so-called spin factor embedding of rank-3 Jordan algebras and its consequences on the Jordan algebraic Lie symmetries, in order to provide another perspective on the origin of the "Exceptional Periodicity" (EP) and its "Magic Star" structure. We also highlight some properties of the special class of Vinberg's rank-3 (dubbed exceptional) T-algebras, appearing on the tips of the "Magic Star" projection of EP(-generalized, finite-dimensional, exceptional) algebras.

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  1. Exceptional Periodicity and Magic Star Algebras. I : Foundations

    math.RT 2019-09 conditional novelty 5.0 of 10

    The paper rigorously defines 'Magic Star algebras', periodic finite dimensional generalizations of e6, e7, and e8, which are Lie algebras only at the base level n=1.

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