Can dual gravity be reconciled with E11?

Details Can dual gravity be reconciled with E11? Can dual gravity be reconciled with E11?

2009-03-25

arxiv.org/abs/0903.4384v2

Phys.Lett.B675:371-376,2009

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, v2: ref. added, to appear in PLB

Scientific paper

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

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