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Dual Massive Gravity · Around

2012

Dual Massive Gravity

Morand, Kevin, Solodukhin, Sergey N.

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The linearized massive gravity in three dimensions, over any maximally symmetric background, is known to be presented in a self-dual form as a first order equation which encodes not only the massive Klein-Gordon type field equation but also the supplementary transverse-traceless conditions.

We generalize this construction to higher dimensions.
The appropriate dual description in d dimensions, additionally to a (non-symmetric) tensor field $h_{\mu\nu}$, involves an extra rank-(d-1) field equivalently represented by the torsion rank-3 tensor.
The symmetry condition for $h_{\mu\nu}$ arises on-shell as a consequence of the field equations.

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2012
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