The symmetry of M-theories View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2003-09-08

AUTHORS

François Englert, Laurent Houart, Anne Taormina, Peter West

ABSTRACT

We consider the Cartan subalgebra of any very extended algebra +++ where is a simple Lie algebra and let the parameters be space-time fields. These are identified with diagonal metrics and dilatons. Using the properties of the algebra, we find that for all very extensions +++ of simple Lie algebras there are theories of gravity and matter, which admit classical solutions carrying representations of the Weyl group of +++. We also identify the T and S-dualities of superstrings and of the bosonic string with Weyl reflections and outer automorphisms of well-chosen very extended algebras and we exhibit specific features of the very extensions. We take these results as indication that very extended algebras underlie symmetries of any consistent theory of gravity and matter, and might encode basic information for the construction of such theory. More... »

PAGES

020

References to SciGraph publications

  • 2002-08-30. Kac-Moody algebras in perturbative string theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2002-08-20. Einstein billiards and overextensions of finite-dimensional simple Lie algebras in JOURNAL OF HIGH ENERGY PHYSICS
  • 2002-09-16. The bosonic mother of fermionic D-branes in JOURNAL OF HIGH ENERGY PHYSICS
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  • 1974-12. Theory of dynamical affine and conformal symmetries as the theory of the gravitational field in THEORETICAL AND MATHEMATICAL PHYSICS
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  • 2001-08-06. Brane fusion in the bosonic string and the emergence of fermionic strings in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1088/1126-6708/2003/09/020

    DOI

    http://dx.doi.org/10.1088/1126-6708/2003/09/020

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1011927800


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