Geometric configurations, regular subalgebras of E10

MARC HENNEAUX; MAURICIO LESTON; DANIEL PERSSON; PHILIPPE SPINDEL

JOURNAL OF HIGH ENERGY PHYSICS - (Online)

IOP PUBLISHERS

Año: 2006 vol. 10 p. 1 - 47

1029-8479

We re-examine previously found cosmological solutions to eleven-dimensional supergravity in the light of the E10-approach to M-theory. We focus on the solutions with non zero electric field determined by geometric configurations (nm, g3), n  minor than 10. We show diagrams of which are the (line) incidence diagrams of the geometric configurations. Our that these solutions are associated with rank g regular subalgebras of E10, the Dynkin analysis provides as a byproduct an interesting class of rank-10 Coxeter subgroups of the Weyl group of E10.