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E8 duality and dual gravity
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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.
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Exotic branes and mixed-symmetry potentials II: Duality rules and exceptional $p$-form gauge fields
Mixed-symmetry potentials such as the dual graviton are embedded into exceptional field theory's p-form multiplets, with T- and S-duality rules derived for the E8 case.
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