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arXiv · 0903.1459

Massive Gravity with Mass Term in Three Dimensions

Masashi Nakasone·Ichiro Oda
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Abstract

We analyze the effect of the Pauli-Fierz mass term on a recently established, new massive gravity theory in three space-time dimensions. We show that the Pauli-Fierz mass term makes the new massive gravity theory non-unitary. Moreover, although we add the gravitational Chern-Simons term to this model, the situation remains unchanged and the theory stays non-unitary in spite that structure of the graviton propagator is greatly changed. Thus, the Pauli-Fierz mass term is not allowed to coexist with mass-generating higher-derivative terms in the new massive gravity.

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Masashi Nakasone, Ichiro Oda. 2009-03-08. Massive Gravity with Mass Term in Three Dimensions. https://doi.org/10.1103/physrevd.79.104012

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