On Unitarity of Massive Gravity in Three Dimensions

Abstract

We examine a unitarity of a particular higher-derivative extension of general relativity in three space-time dimensions, which has been recently shown to be equivalent to the Pauli-Fierz massive gravity at the linearized approximation level, and explore a possibility of generalizing the model to higher space-time dimensions. We find that the model in three dimensions is indeed unitary in the tree-level, but the corresponding model in higher dimensions is not so due to the appearance of non-unitary massless spin-2 modes.

10 pages, references added

References in corpus (6)

• Massive Gravity in Three Dimensions
• The Higgs Phenomenon in Quantum Gravity
• Unitarity in the Brout-Englert-Higgs Mechanism for Gravity
• Gravitational Higgs Mechanism with a Topological Term
• Classical Solutions of Ghost Condensation Models
• Massive Gravity in Curved Cosmological Backgrounds

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