Geometric configurations, regular subalgebras of E10 and M-theory cosmology

, , and

Published 9 October 2006 • Published under licence by IOP Publishing Ltd
, , Citation Marc Henneaux et al JHEP10(2006)021 DOI 10.1088/1126-6708/2006/10/021

Download Article PDF

Article metrics

213 Total downloads

Share this article

Author affiliations

1 Physique Théorique et Mathématique, Université Libre de Bruxelles and International Solvay Institutes, ULB-Campus Plaine C.P.231, B-1050 Bruxelles, Belgium

2 Theoretische Naturkunde, Vrije Universiteit Brussel and International Solvay Institutes, Pleinlaan 2, B-1050 Brussels, Belgium

3 Centro de Estudios Científicos (CECS), Casilla 1469, Valdivia, Chile

4 Instituto de Astronomica y Fisica del Espacio (IAFE), Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina

5 Mécanique et Gravitation, Université de Mons-Hainaut, Académie Wallonie-Bruxelles, Place du Parc 20, 7000 Mons, Belgium

Dates

  1. Received 21 June 2006
  2. Accepted 7 September 2006
  3. Published

Buy this article in print

1126-6708/2006/10/021

Abstract

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 ⩽ 10. We show that these solutions are associated with rank g regular subalgebras of E10, 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 E10.

Export citation and abstract BibTeX RIS

Previous article in issue
Next article in issue

An erratum page was received on 30 December 2006 and added to the end of the published paper on 1 May 2007.

Please wait… references are loading.
10.1088/1126-6708/2006/10/021