On Lorentz-invariant bispin-2 theories

Rampei Kimura, Atsushi Naruko, Daisuke Yamauchi

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.

Physical Review D

104

044021

https://doi.org/10.1103/PhysRevD.104.044021

2012.13461