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

Antonio Accioly
Phys. Rev. D 67, 127502 – Published 26 June 2003
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Abstract

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, R+R2 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 R+R2 gravity.

  • Received 8 April 2003

DOI:https://doi.org/10.1103/PhysRevD.67.127502

©2003 American Physical Society

Authors & Affiliations

Antonio Accioly*

  • Instituto de Física Teórica, Universidade Estadual Paulista, Rua Pamplona 145, 01405-000 São Paulo, São Paulo, Brazil

  • *Electronic address: accioly@ift.unesp.br

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Vol. 67, Iss. 12 — 15 June 2003

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