Geometric configurations, regular subalgebras of E10 and M-theory cosmology
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...
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10298479_v2006_n10_p_Henneaux |
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todo:paper_10298479_v2006_n10_p_Henneaux2023-10-03T15:57:06Z Geometric configurations, regular subalgebras of E10 and M-theory cosmology Henneaux, M. Leston, M. Persson, D. Spindel, P. Global Symmetries M-Theory String Duality 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. © SISSA 2006. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10298479_v2006_n10_p_Henneaux |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Global Symmetries M-Theory String Duality |
spellingShingle |
Global Symmetries M-Theory String Duality Henneaux, M. Leston, M. Persson, D. Spindel, P. Geometric configurations, regular subalgebras of E10 and M-theory cosmology |
topic_facet |
Global Symmetries M-Theory String Duality |
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. © SISSA 2006. |
format |
JOUR |
author |
Henneaux, M. Leston, M. Persson, D. Spindel, P. |
author_facet |
Henneaux, M. Leston, M. Persson, D. Spindel, P. |
author_sort |
Henneaux, M. |
title |
Geometric configurations, regular subalgebras of E10 and M-theory cosmology |
title_short |
Geometric configurations, regular subalgebras of E10 and M-theory cosmology |
title_full |
Geometric configurations, regular subalgebras of E10 and M-theory cosmology |
title_fullStr |
Geometric configurations, regular subalgebras of E10 and M-theory cosmology |
title_full_unstemmed |
Geometric configurations, regular subalgebras of E10 and M-theory cosmology |
title_sort |
geometric configurations, regular subalgebras of e10 and m-theory cosmology |
url |
http://hdl.handle.net/20.500.12110/paper_10298479_v2006_n10_p_Henneaux |
work_keys_str_mv |
AT henneauxm geometricconfigurationsregularsubalgebrasofe10andmtheorycosmology AT lestonm geometricconfigurationsregularsubalgebrasofe10andmtheorycosmology AT perssond geometricconfigurationsregularsubalgebrasofe10andmtheorycosmology AT spindelp geometricconfigurationsregularsubalgebrasofe10andmtheorycosmology |
_version_ |
1807322114942828544 |