Abstract
We formulate the locally supersymmetric E7(7) exceptional field theory in a (4 + 56|32) dimensional superspace, corresponding to a 4D N = 8 “external” superspace augmented with an “internal” 56-dimensional space. This entails the unification of external diffeomorphisms and local supersymmetry transformations into superdiffeomorphisms. The solutions to the superspace Bianchi identities lead to on-shell duality equations for the p-form field strengths for p ≤ 4. The reduction to component fields provides a complete description of the on-shell supersymmetric theory. As an application of our results, we perform a generalized Scherk-Schwarz reduction and obtain the superspace formulation of maximal gauged supergravity in four dimensions parametrized by an embedding tensor.
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Butter, D., Samtleben, H. & Sezgin, E. E7(7) exceptional field theory in superspace. J. High Energ. Phys. 2019, 87 (2019). https://doi.org/10.1007/JHEP01(2019)087
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DOI: https://doi.org/10.1007/JHEP01(2019)087