Unavoidable Conflict Between Massive Gravity Models and Massive Topological Terms

Details Unavoidable Conflict Between Massive Gravity Models and Massive Topological Terms Unavoidable Conflict Between Massive Gravity Models and Massive Topological Terms

2004-02-26

arxiv.org/abs/hep-th/0402222v1

Mod.Phys.Lett. A19 (2004) 817-826

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, no figures

Scientific paper

10.1142/S0217732304013362

Massive gravity models in 2+1 dimensions, such as those obtained by adding to Einstein's gravity the usual Fierz-Pauli, or the more complicated Ricci scalar squared ($R^2$), terms, are tree level unitary. Interesting enough these seemingly harmless systems have their unitarity spoiled when they are augmented by a Chern-Simons term. Furthermore, if the massive topological term is added to $R + R_{\mu\nu}^2$ gravity, or to $R + R_{\mu\nu}^2 + R^2$ gravity (higher-derivative gravity), which are nonunitary at the tree level, the resulting models remain nonunitary. Therefore, unlike the common belief, as well as the claims in the literature, the coexistence between three-dimensional massive gravity models and massive topological terms is conflicting.

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