The E_{11} origin of all maximal supergravities

Abstract

Starting from the eleven dimensional E_{11} non-linear realisation of M-theory we compute all possible forms, that is objects with totally antisymmetrised indices, that occur in four dimensions and above as well as all the 1-forms and 2-forms in three dimensions. In any dimension D, the D-1-forms lead to maximal supergravity theories with cosmological constants and they are in precise agreement with the patterns of gauging found in any dimension using supersymmetry. The D-forms correspond to the presence of space-filling branes which are crucial for the consistency of orientifold models and have not been derived from an alternative approach, with the exception of the 10-dimensional case. It follows that the gaugings of supergravities and the spacetime-filling branes possess an eleven dimensional origin within the E_{11} formulation of M-theory. This and previous results very strongly suggest that all the fields in the adjoint representation of E_{11} have a physical interpretation.

54 pages

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• U-duality and M-Theory
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• E10 and a "small tension expansion" of M Theory
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• The tensor hierarchy simplified
• A master exceptional field theory
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• Supersymmetric Domain Walls
• On supersymmetric E11 exceptional field theory
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• Exceptional Reductions
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• Towards a classification of branes in theories with eight supercharges
• Higher derivative type II string effective actions, automorphic forms and E11
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• Non-Supersymmetric Magic Theories and Ehlers Truncations
• Orbits in Non-Supersymmetric Magic Theories
• Real weights, bound states and duality orbits
• Complexity and the Big Bang
• Space-filling branes & gaugings
• E theory in seven dimensions
• Extended Drinfel'd algebras and non-Abelian duality
• Gauged Supergravities and the Physics of Extra Dimensions
• Non-geometric orbifolds and wrapping rules
• Iwasawa nilpotency degree of non compact symmetric cosets in N-extended Supergravity
• Unfolding $E_{11}$
• The very-extended trombone
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• Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry
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• Exotic Aspects of Extended Field Theories
• Non-geometric fluxes and mixed-symmetry potentials