Mathematics – Algebraic Topology
Scientific paper
Jun 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003phrvd..67l7502a&link_type=abstract
Physical Review D, vol. 67, Issue 12, id. 127502
Mathematics
Algebraic Topology
7
Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Algebraic Topology, Nonlinear Or Nonlocal Theories And Models, Mathematical And Relativistic Aspects Of Cosmology
Scientific paper
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.
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