par De Buyl, Sophie 
;Schomblond, Christiane
Référence Journal of mathematical physics, 45, 12, page (4464-4492)
Publication Publié, 2004-12
;Schomblond, Christiane Référence Journal of mathematical physics, 45, 12, page (4464-4492)
Publication Publié, 2004-12
Article révisé par les pairs
| Résumé : | We identify the hyperbolic Kac Moody algebras for which there exists a Lagrangian of gravity, dilatons, and p-forms which produces a billiard that can be identified with their fundamental Weyl chamber. Because of the invariance of the billiard upon toroidal dimensional reduction, the list of admissible algebras is determined by the existence of a Lagrangian in three space-time dimensions, where a systematic analysis can be carried out since only zero-forms are involved. We provide all highest dimensional parent Lagrangians with their full spectrum of p -forms and dilaton couplings. We confirm, in particular, that for the rank 10 hyperbolic algebra, CE 10=A 15 (2)^, also known as the dual of B 8 ^^, the maximally oxidized Lagrangian is nine-dimensional and involves besides gravity, 2 dilatons, a 2-form, a 1-form, and a 0-form. © 2004 American Institute of Physics. |
