E8 duality and dual gravity

Abstract

We construct the non-linear realisation of the E8 motion group and compare this with the bosonic sector of eleven dimensional supergravity. The construction naturally leads to the introduction of a new potential field. We identify this new field with the dual gravity field by considering the reduction of the eleven-dimensional theory to three dimensions.

11+26 pages; published version

References in corpus (12)

• Double Field Theory
• Generalised Geometry for M-Theory
• The gauge algebra of double field theory and Courant brackets
• Generalized Geometry and M theory
• A field-theory motivated approach to symbolic computer algebra
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• Double field formulation of Yang-Mills theory
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• The gauge structure of Exceptional Field Theories and the tensor hierarchy
• The Geometry, Branes and Applications of Exceptional Field Theory
• U-duality covariant gravity
• Generalised geometry from the ground up
• E${}_9$ exceptional field theory I. The potential
• Non-linear Kaluza-Klein theory for dual fields
• M5 algebra and SO(5,5) duality
• Weaving the Exotic Web
• Branes in Extended Spacetime: Brane Worldvolume Theory Based on Duality Symmetry
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• On the exceptional generalised Lie derivative for $d\ge 7$
• Subsectors, Dynkin Diagrams and New Generalised Geometries
• U-gravity : $\mathbf{SL}(N)$
• Quark and lepton mass matrices from localization in M-theory on $G_2$ orbifold
• Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional $p$-form gauge fields