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Geometric Configurations, Regular Subalgebras of E10 and M-Theory Cosmology

Marc Henneaux·Mauricio Leston·Daniel Persson·Philippe Spindel
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Abstract

We re-examine previously found cosmological solutions to eleven-dimensional supergravity in the light of the E_{10}-approach to M-theory. We focus on the solutions with non zero electric field determined by geometric configurations (n_m, g_3), n\leq 10. We show that these solutions are associated with rank $g$ regular subalgebras of E_{10}, the Dynkin diagrams of which are the (line) incidence diagrams of the geometric configurations. Our analysis provides as a byproduct an interesting class of rank-10 Coxeter subgroups of the Weyl group of E_{10}.

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Marc Henneaux, Mauricio Leston, Daniel Persson, Philippe Spindel. 2006-06-29. Geometric Configurations, Regular Subalgebras of E10 and M-Theory Cosmology. https://doi.org/10.1088/1126-6708%2F2006%2F10%2F021

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