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