Quadratic gravity theories in 2+1 dimensions and the topological Chern-Simons term

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2003-01-01

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The addition of a topological Chern-Simons term to three-dimensional higher-derivative gravity is not a good therapy to cure the nonunitarity of the aforementioned theory. Moreover, [Formula Presented] gravity in (2+1)D, which is unitary at the tree level, becomes tree-level nonunitary when it is augmented by the abovementioned topological term. Therefore, unlike what is claimed in the literature, topological higher-derivative gravity in (2+1)D is not tree-level unitary and neither is topological three-dimensional [Formula Presented] gravity. © 2003 The American Physical Society.

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Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 67, n. 12, 2003.

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