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arXiv · 2010.10871

$O(d,d;\mathbb{Z})$ invariant Fierz-Pauli massive gravity

Toshifumi Noumi·Kaishu Saito·Jiro Soda·Daisuke Yoshida
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Abstract

We consider an $O(d,d;\mathbb{Z})$ invariant massive deformation of double field theory at the level of free theory. We study Kaluza-Klein reduction on $R^{1,n-1} \times T^{d}$ 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 $O(d,d;\mathbb{Z})$ invariant Fierz-Pauli massive gravity theories.

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Toshifumi Noumi, Kaishu Saito, Jiro Soda, Daisuke Yoshida. 2020-10-21. $O(d,d;\mathbb{Z})$ invariant Fierz-Pauli massive gravity. https://doi.org/10.1103/physrevd.103.046011

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