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arXiv · 2003.12658

More on dual actions for massive spin-2 particles

D. Dalmazi·A. L. R. dos Santos
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Abstract

Here we start from a dual version of Vasiliev's first order action for massless spin-2 particles (linearized first order Einstein-Hilbert) and derive, via Kaluza-Klein dimensional reduction from $D+1$ to $D$ dimensions, a set of dual massive spin-2 models. This set includes the massive "BR" model, a spin-2 analogue of the spin-1 Cremmer-Scherk model. In our approach the linearized Riemann curvature emerges from a solution of a functional constraint. In $D=2+1$ the BR model can be written as a linearized version of a new bimetric model for massive gravitons. We also have a new massive spin-2 model, in arbitrary dimensions, invariant under linearized diffeomorphisms. It is given in terms of a non symmetric rank-2 tensor and a mixed symmetry tensor.

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D. Dalmazi, A. L. R. dos Santos. 2020-03-27. More on dual actions for massive spin-2 particles. https://doi.org/10.1088/1361-6382%2Fab9144

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