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arXiv · 2012.13461

On Lorentz-invariant bi-spin-2 theories

Rampei Kimura·Atsushi Naruko·Daisuke Yamauchi
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Abstract

We investigate a Lorentz invariant action which is quadratic in two rank-2 symmetric tensor fields in Minkowski spacetime. We apply a scalar-vector-tensor decomposition to two tensor fields by virtue of 3-dimensional rotation-invariance of Minkowski spacetime and classify theories with seven degrees of freedom based on the Hamiltonian analysis. We find two new theories, which cannot be mapped from the linearized Hassan-Rosen bigravity. In these theories, the new mass interactions can be allowed thanks to the transverse diffeomorphism invariance of action.

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Rampei Kimura, Atsushi Naruko, Daisuke Yamauchi. 2020-12-24. On Lorentz-invariant bi-spin-2 theories. https://doi.org/10.1103/physrevd.104.044021

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