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Consistent deformations of dual formulations of linearized gravity: A no-go result

Xavier Bekaert·Nicolas Boulanger·Marc Henneaux
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Abstract

The consistent, local, smooth deformations of the dual formulation of linearized gravity involving a tensor field in the exotic representation of the Lorentz group with Young symmetry type (D-3,1) (one column of length D-3 and one column of length 1) are systematically investigated. The rigidity of the Abelian gauge algebra is first established. We next prove a no-go theorem for interactions involving at most two derivatives of the fields.

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Xavier Bekaert, Nicolas Boulanger, Marc Henneaux. 2003-02-10. Consistent deformations of dual formulations of linearized gravity: A no-go result. https://doi.org/10.1103/physrevd.67.044010

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