On supersymmetric E-11 exceptional field theory Academic Article uri icon


  • 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 $$ {mathfrak{e}}_{11} $$ e 11 , both for the bosonic theory and its supersymmetric extension.

published proceedings


altmetric score

  • 0.5

author list (cited authors)

  • Bossard, G., Kleinschmidt, A., & Sezgin, E.

citation count

  • 18

publication date

  • October 2019