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Script G sign+++ invariant formulation of gravity and M-theories: Exact BPS solutions

par Engler, François;Houart, Laurent
Référence The journal of high energy physics (Online), 8, 1, page (31-68)
Publication Publié, 2004-01

Article révisé par les pairs

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Résumé :

We present a tentative formulation of theories of gravity with suitable matter content, including in particular pure gravity in D dimensions, the bosonic effective actions of M-theory and of the bosonic string, in terms of actions invariant under very-extended Kac-Moody algebras script G sign +++. We conjecture that they host additional degrees of freedom not contained in the conventional theories. The actions are constructed in a recursive way from a level expansion for all very-extended algebras script G sign+++. They constitute non-linear realisations on cosets, a priori unrelated to space-time, obtained from a modified Chevalley involution. Exact solutions are found for all script G sign+++. They describe the algebraic properties of BPS extremal branes, Kaluza-Klein waves and Kaluza-Klein monopoles. They illustrate the generalisation to all script G sign +++ invariant theories of the well-known duality properties of string theories by expressing duality as Weyl invariance in script G sign +++. Space-time is expected to be generated dynamically. In the level decomposition of E8+++ = E11, one may indeed select an A10 representation of generators Pa which appears to engender space-time translations by inducing infinite towers of fields interpretable as field derivatives in space and time. © SISSA/ISAS 2004.