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Topologically Massive AdS Gravity · Around

2008

Topologically Massive AdS Gravity

Carlip, S., Deser, S., Waldron, A. et al.

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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 Lambda 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.

Built on

S. Deser, R. Jackiw and S. Templeton, “Three-dimensional massive gauge theories,” Phys. Rev. Lett. 48
1982
Earlier work this paper cites.
S. Deser and R. I. Nepomechie, “Anomalous propagation of gauge fields in conformally flat spaces,” Phys. Lett. B 132
1984
Earlier work this paper cites.
S. Deser, “Cosmological topological supergravity,” in Quantum Theory of Gravity
Original
1984
Earlier work this paper cites.
P. Breitenlohner and D. Z. Freedman, “Stability in gauged extended supergravity,” Annals Phys. 144
1985
Earlier work this paper cites.

Similar

C. Fefferman and C.R. Graham, “Conformal invariants,” Elie Cartan et les Mathematiques d’Aujourdhui
1985
Cited alongside, same era.
A. Achúcarro and P.K. Townsend, “A Chern–Simons action for three-dimensional anti-de Sitter supergravity theories”, Phys. Lett. B 180
1988
Cited alongside, same era.
S. Deser and X. Xiang, “Canonical formulations of full nonlinear topologically massive gravity,” Phys. Lett. B 263
1991
Cited alongside, same era.
S. Deser and R. Jackiw, “Higher derivative Chern-Simons extensions,” Phys. Lett. B 451
1999
Cited alongside, same era.
W. Li, W. Song, and A. Strominger, “Chiral gravity in three dimensions” [arXiv:0801.4566v] (hep-th); “Comment on ’Cosmological Topological Massive Gravitons and Photons’,” arXiv:0805.3101 [hep-th]
Original
Cited in the paper.
D. Grumiller and N. Johansson, “Instability in cosmological topologically massive gravity at the chiral point,” arXiv:0805.2610 [hep-th]
Original
Cited in the paper.
S. Carlip, S. Deser, A. Waldron and D. K. Wise, “Cosmological Topologically Massive Gravitons and Photons,” arXiv:0803.3998 [hep-th]
Original
Cited in the paper.
D. Grumiller, R. Jackiw and N. Johansson, “Canonical analysis of cosmological topologically massive gravity at the chiral point,” arXiv:0806.4185 [hep-th]
Original
Cited in the paper.
S. Carlip, “The Constraint Algebra of Topologically Massive AdS Gravity”, to appear
Cited in the paper.

Then

S. Deser and A. Waldron, “Gauge invariances and phases of massive higher spins in (A)dS,” Phys. Rev. Lett. 87
2001
Later among the works it cites.
S. Deser and B. Tekin, “Energy in topologically massive gravity,” Class. Quant. Grav. 20
2002
Later among the works it cites.
P. Kraus and F. Larsen, “Holographic gravitational anomalies,” JHEP 0601
2006
Later among the works it cites.
S. N. Solodukhin, “Holography with gravitational Chern-Simons term,” Phys. Rev. D74
2006
Later among the works it cites.

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