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arXiv · 1910.00648

Unitarity of higher derivative spin-3 models

E. L. Mendonça·R. Schimidt Bittencourt
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Abstract

The fourth order in derivatives New Massive Gravity model NMG, describes a massive spin-2 particle in $D=2+1$. At the linearized level a proof of unitarity necessarily implies that the generalization to higher dimensions includes non-unitary massless spin-2 modes. The linearized version of NMG is dual to the Fierz-Pauli model FP. Here we examine the unitarity of higher derivative spin-3 models, analogues to the NMG, dual to the Singh-Hagen model SH. We find that the same kind of restriction on the dimension of the space also happens in this case, and the models are physical only in $D=2+1$.

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E. L. Mendonça, R. Schimidt Bittencourt. 2019-10-01. Unitarity of higher derivative spin-3 models. https://doi.org/10.1016/j.aop.2020.168076

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