Algebraic Dreams

Details Algebraic Dreams Algebraic Dreams

2001-12-31

arxiv.org/abs/hep-th/0112261v1

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, Latex. Contribution to Francqui Foundation Meeting in the honor of Marc Henneaux, October 2001, Brussels

Scientific paper

Nature's attraction to unique mathematical structures provides powerful hints for unraveling her mysteries. None is at present as intriguing as eleven-dimensional M-theory. The search for exceptional structures specific to eleven dimensions leads us to exceptional groups in the description of space-time. One specific connection, through the coset $F_4/SO(9)$, may provide a generalization of eleven-dimensional supergravity. Since this coset happens to be the projective space of the Exceptional Jordan Algebra, its charge space may be linked to the fundamental degrees of freedom underlying M-theory.

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