On supersymmetric E11 exceptional field theory - Archive ouverte HAL
Article Dans Une Revue Journal of High Energy Physics Année : 2019

On supersymmetric E11 exceptional field theory

Résumé

We construct an infinite system of non-linear duality equations, including fermions, that are invariant under global E 11 and gauge invariant under generalised diffeo-morphisms upon the imposition of a suitable section constraint. We use finite-dimensional fermionic representations of the R-symmetry K(E 11) to describe the fermionic contributions to the duality equations. These duality equations reduce to the known equations of E 8 exceptional field theory or eleven-dimensional supergrav-ity for appropriate (partial) solutions of the section constraint. Of key importance in the construction is an indecomposable representation of E 11 that entails extra non-dynamical fields beyond those predicted by E 11 alone, generalising the known constrained p-forms of exceptional field theories. The construction hinges on the tensor hierarchy algebra extension of e 11 , both for the bosonic theory and its super-symmetric extension.
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Dates et versions

hal-02332761 , version 1 (25-10-2019)

Identifiants

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Guillaume Bossard, Axel Kleinschmidt, Ergin Sezgin. On supersymmetric E11 exceptional field theory. Journal of High Energy Physics, 2019, 2019 (10), ⟨10.1007/JHEP10(2019)165⟩. ⟨hal-02332761⟩
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