Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-06-14
JHEP0610:021,2006
Physics
High Energy Physics
High Energy Physics - Theory
48 pages, 27 figures, 5 tables, references added, typos corrected
Scientific paper
10.1088/1126-6708/2006/10/021
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}.
Henneaux Marc
Leston Mauricio
Persson Daniel
Spindel Philippe
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