Non-linear parent action and dual gravity

Details Non-linear parent action and dual gravity Non-linear parent action and dual gravity

2008-06-17

arxiv.org/abs/0806.2775v3

Phys.Rev.D78:064027,2008

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, v2: version to appear in Phys.Rev.D, v3: typos corrected, footnote added after equations (3.31)-(3.32) with a refere

Scientific paper

10.1103/PhysRevD.78.064027

We give a reformulation of non-linear Einstein gravity, which contains the dual graviton together with the ordinary metric and a shift gauge field. The metric does not enter through a `kinetic' Einstein-Hilbert term, but via topological couplings, and so the theory does not lead to a doubling of degrees of freedom. The field equations take the form of first-order duality relations. We analyze the gauge symmetries and comment on their meaning with regard to the E11 proposal.

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