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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Autores principales: Henneaux, M., Leston, M., Persson, D., Spindel, P.
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10298479_v2006_n10_p_Henneaux
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spelling 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
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