On supersymmetric E 11 exceptional field theory

• Main Authors: Guillaume Bossard, Axel Kleinschmidt, Ergin Sezgin
• Format: Article
• Language: English
• Published: SpringerOpen 2019-10-01
• Series: Journal of High Energy Physics
• Subjects: Global Symmetries; M-Theory; Extended Supersymmetry; Space-Time Symmetries
• Online Access: http://link.springer.com/article/10.1007/JHEP10(2019)165

Abstract We construct an infinite system of non-linear duality equations, including fermions, that are invariant under global E 11 and gauge invariant under generalised diffeomorphisms 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 supergravity 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 $$ {\mathfrak{e}}_{11} $$ , both for the bosonic theory and its supersymmetric extension.