Topologically massive AdS gravity

Steven Carlip

doi:10.1016/j.physletb.2008.07.057

Topologically massive AdS gravity

2008-08-01

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DOI：10.1016/j.physletb.2008.07.057

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We analyze (2 + 1)-dimensional gravity with a Chern-Simons term and a negative cosmological constant, primarily at the weak field level. The full theory is expressible as the sum of two higher derivative SL(2, R) vector Chern-Simons terms, while the physical bulk degrees of freedom correspond to a single massive scalar field, just as for Lambda = 0. The interplay of A and the mass parameter mu can be studied, and any physical mass-including the conformal value with null propagation-is accessible by tuning mu. The single bulk mode yields a complete set of normalizable positive energy wave packets, as long as one chooses the usual, wrong sign of G necessary to connect smoothly with the known Lambda = 0 limit. The chiral Chern-Simons coupling leads to gauge invariant linearized curvatures propagating with chirality-dependent masses. Linearized metric fluctuations have a finite asymptotic Fefferman-Graham expansion about the Poincare metric for any mass value greater or equal to a critical one, where various amusing effects appear, such as vanishing of one of the two vector Chern-Simons terms and an equivalence between tensor and vector excitations. We also find a set of chiral, pp-wave metrics that exactly solve the full nonlinear equations. Published by Elsevier B.V.

Keyword:

GAUGED EXTENDED SUPERGRAVITY

HIGHER SPINS

STABILITY

MASSLESSNESS

PROPAGATION

ENERGY

SPACES

Topologically massive AdS gravity

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