Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-10-26
J.Math.Phys.48:053512,2007; J.Math.Phys.49:099901,2008
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, Typos corrected, Erratum added correcting the total number of rank 11 Coxeter graphs with incidence index 4
Scientific paper
10.1063/1.2738754 10.1063/1.2982
In the course of investigating regular subalgebras of E(10) related to cosmological solutions of 11-dimensional supergravity supporting an electric 4-form field, a class of rank 10 Coxeter subgroups of the Weyl group of E(10) was uncovered (hep-th/0606123). These Coxeter groups all share the property that their Coxeter graphs have incidence index 3, i.e. that each node is incident to three and only three single lines. Furthermore, the Coxeter exponents are either 2 or 3, but never infinity. We here go beyond subgroups of the Weyl group of E(10) and classify all rank 10 Coxeter groups with these properties. We find 21 distinct Coxeter groups of which 7 were already described in hep-th/0606123. Moreover, we extend the classification to the rank 11 case and we find 252 inequivalent rank 11 Coxeter groups with incidence index 4, of which at least 28 can be regularly embedded into E(11).
Henneaux Marc
Leston Mauricio
Persson Daniel
Spindel Ph
No associations
LandOfFree
A Special Class of Rank 10 and 11 Coxeter Groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A Special Class of Rank 10 and 11 Coxeter Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Special Class of Rank 10 and 11 Coxeter Groups will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-114471