O(d,d; Z) invariant Fierz-Pauli massive gravity

We consider an O(d, d; Z) invariant massive deformation of double field theory at the level of free theory. We study Kaluza-Klein reduction on R-1,R-n-1 x T-d and derive the diagonalized second order action for each helicity mode. Imposing the absence of ghosts and tachyons, we obtain a class of consistency conditions which include the well-known weak constraint in double field theory as a special case. Consequently, we find two-parameter sets of O(d, d; Z) invariant Fierz-Pauli massive gravity theories.

Automated summary

In this study, an O(d, d; Z) invariant massive deformation of double field theory at the level of free theory is considered. Kaluza-Klein reduction on R-1,R-n-1 x T-d is analyzed and the diagonalized second order action for each helicity mode is derived. The absence of ghosts and tachyons leads to a class of consistency conditions, resulting in two-parameter sets of O(d, d; Z) invariant Fierz-Pauli massive gravity theories.