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Phys. Rev. D 67, 127502 (2003) [4 pages]

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

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

Received 8 April 2003; published 26 June 2003

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.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.67.127502
DOI:
10.1103/PhysRevD.67.127502
PACS:
04.50.+h, 02.40.Re, 11.10.Lm, 98.80.Jk

*Electronic address: accioly@ift.unesp.br