𝒢+++ invariant formulation of gravity and M-theories: exact BPS solutions View Full Text


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Article Info

DATE

2004-01-06

AUTHORS

François Englert, Laurent Houart

ABSTRACT

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 +++. 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 +++. 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 +++. They describe the algebraic properties of BPS extremal branes, Kaluza-Klein waves and Kaluza-Klein monopoles. They illustrate the generalisation to all +++ invariant theories of the well-known duality properties of string theories by expressing duality as Weyl invariance in +++. 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. More... »

PAGES

002

References to SciGraph publications

  • 2002-08-20. Einstein billiards and overextensions of finite-dimensional simple Lie algebras in JOURNAL OF HIGH ENERGY PHYSICS
  • 2003-08-14. Intersection rules, dynamics and symmetries in JOURNAL OF HIGH ENERGY PHYSICS
  • 1999-01-18. Dualities versus singularities in JOURNAL OF HIGH ENERGY PHYSICS
  • 2003-09-08. The symmetry of M-theories in JOURNAL OF HIGH ENERGY PHYSICS
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    http://scigraph.springernature.com/pub.10.1088/1126-6708/2004/01/002

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