All Bulk and Boundary Unitary Cubic Curvature Theories in Three Dimensions

Details All Bulk and Boundary Unitary Cubic Curvature Theories in Three Dimensions All Bulk and Boundary Unitary Cubic Curvature Theories in Three Dimensions

2010-11-10

arxiv.org/abs/1011.2419v3

Phys.Rev.D83:024033,2011

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, clarifying remarks added, version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.83.024033

We construct all the bulk and boundary unitary cubic curvature parity invariant gravity theories in three dimensions in (anti)-de Sitter spaces. For bulk unitarity, our construction is based on the principle that the free theory of the cubic curvature theory reduces to one of the three known unitary theories which are the cosmological Einstein-Hilbert theory, the quadratic theory of the scalar curvature or the new massive gravity (NMG). Bulk and boundary unitarity in NMG is in conflict; therefore, cubic theories that are unitary both in the bulk and on the boundary have free theories that reduce to the other two alternatives. We also study the unitarity of the Born-Infeld extensions of NMG to all orders in curvature.

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