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We extend a recently proposed formulation of dual gravity to the case ofeleven-dimensional supergravity. The supersymmetric action corresponding tothis alternative formulation is given, and it is shown that it leads to a setof first-order duality relations from which all second-order equations ofmotion follow as integrability conditions. On top of the fields correspondingto the conjectured E11 symmetry the action features Stuckelberg gauge fieldsthat facilitate the realization of arbitrary symmetries on the dual graviton.However, there is no gauge-fixing that allows to eliminate the Stuckelbergfields. Therefore, E11 by itself is not a symmetry of eleven-dimensionalsupergravity but has to be extended at least by the Stuckelberg symmetries.

Can dual gravity be reconciled with E11?