Published October 2006 | Version v1
Journal article

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

  • 1. Physique Theorique et Mathematique, Universite Libre de Bruxelles and International Solvay Institutes, ULB-Campus Plaine C.P.231, B-1050 Brussels (Belgium)
  • 2. Theoretische Naturkunde, Vrije Universiteit Brussel and International Solvay Institutes, Pleinlaan 2, B-1050 Brussels (Belgium)
  • 3. Mecanique et Gravitation, Universite de Mons-Hainaut, Academie Wallonie-Bruxelles, Place du Parc 20, 7000 Mons (Belgium)

Description

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

Availability note (English)

Available online at http://stacks.iop.org/1126-6708/2006/i=10/a=021/jhep102006021.pdf or at the Web site for the Journal of High Energy Physics (ISSN 1029-8479) http://www.iop.org/

Additional details

Publishing Information

Journal Title
Journal of High Energy Physics
Journal Volume
2006
Journal Issue
10
Journal Page Range
p. 021
ISSN
1126-6708

INIS

Country of Publication
Italy
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
38004110
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
CONFIGURATION; COSMOLOGY; DIAGRAMS; ELECTRIC FIELDS; MATHEMATICAL SOLUTIONS; QUANTUM FIELD THEORY; SUPERGRAVITY
Descriptors DEC
FIELD THEORIES; INFORMATION; UNIFIED-FIELD THEORIES