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#### On supersymmetric E11 exceptional field theory

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##### Fulltext (public)

1907.02080.pdf

(Preprint), 952KB

Bossard2019_Article_OnSupersymmetricE11Exceptional.pdf

(Publisher version), 2MB

##### Supplementary Material (public)

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##### Citation

Bossard, G., Kleinschmidt, A., & Sezgin, E. (2019). On supersymmetric E11 exceptional
field theory.* Journal of High Energy Physics,* *2019*(10):
165. doi:10.1007/JHEP10(2019)165.

Cite as: http://hdl.handle.net/21.11116/0000-0003-FDCB-C

##### Abstract

We construct an infinite system of non-linear duality equations, including
fermions, that are invariant under global E11 and gauge invariant under
generalised diffeomorphisms upon the imposition of a suitable section
constraint. We use finite-dimensional fermionic representations of the
R-symmetry E11 to describe the fermionic contributions to the duality
equations. These duality equations reduce to the known equations of E8
exceptional field theory or eleven-dimensional supergravity for appropriate
(partial) solutions of the section constraint. Of key importance in the
construction is an indecomposable representation of E11 that entails extra
non-dynamical fields beyond those predicted by E11 alone, generalising the
known constrained p-forms of exceptional field theories. The construction
hinges on the tensor hierarchy algebra extension of E11, both for the bosonic
theory and its supersymmetric extension.