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arXiv · 1406.3235

Supersymmetric E$_{7(7)}$ Exceptional Field Theory

Hadi Godazgar·Mahdi Godazgar·Olaf Hohm·Hermann Nicolai·Henning Samtleben
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Abstract

We give the supersymmetric extension of exceptional field theory for E$_{7(7)}$, which is based on a $(4+56)$-dimensional generalized spacetime subject to a covariant constraint. The fermions are tensors under the local Lorentz group ${\rm SO}(1,3)\times {\rm SU}(8)$ and transform as scalar densities under the E$_{7(7)}$ (internal) generalized diffeomorphisms. The supersymmetry transformations are manifestly covariant under these symmetries and close, in particular, into the generalized diffeomorphisms of the 56-dimensional space. We give the fermionic field equations and prove supersymmetric invariance. We establish the consistency of these results with the recently constructed generalized geometric formulation of $D=11$ supergravity.

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Hadi Godazgar, Mahdi Godazgar, Olaf Hohm, Hermann Nicolai, Henning Samtleben. 2014-09-05. Supersymmetric E$_{7(7)}$ Exceptional Field Theory. https://doi.org/10.1007/jhep09(2014)044

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