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Topologically Massive Gravity at the Chiral Point is Not Unitary · Around

2008

Topologically Massive Gravity at the Chiral Point is Not Unitary

Giribet, Gaston, Kleban, Matthew, Porrati, Massimo

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A recent paper [arXiv:0801.4566] claims that topologically massive gravity contains only chiral boundary excitations at a particular value of the Chern-Simons coupling.

On the other hand, propagating bulk degrees of freedom were found even at the chiral point in [arXiv:0803.3998].
The two references use very different methods, making comparison of their respective claims difficult.
In this letter, we use the method of [arXiv:0801.4566] to construct a tower of propagating bulk states satisfying standard AdS boundary conditions.

Built on

S. Deser, R. Jackiw and S. Templeton, Three-Dimensional Massive Gauge Theories
1982
Earlier work this paper cites.
J. Brown and M. Henneaux, Central charges in canonical realization of asymptotic symmetries: An example from three-dimensional gravity
1986
Earlier work this paper cites.

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M. Bañados, C. Teitelboim and J. Zanelli, The black hole in three-dimensional space-time
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S. Deser, R. Jackiw and S. Templeton, Topologically massive gauge theories
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W. Li, W. Song and A. Strominger, Chiral gravity in three dimensions
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E. Witten, Three-Dimensional Gravity Revisited
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W. Li, W. Song and A. Strominger, Comments on ”Cosmological Topological Massive Gravitons and Photons”
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A. Maloney and E. Witten, Quantum Gravity Partition Functions in Three Dimensions
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D. Grumiller and N. Johansson, Instability in cosmological topological massive gravity at the chiral point
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D. Grumiller, R. Jackiw and N. Johansson, Canonical analysis of cosmological topologically massive gravity at the chiral point
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A. Strominger, A Simple Proof of the Chiral Gravity Conjecture
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I. Sachs, Quasi-normal modes for logarithmic conformal field theory
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Then

J. Manschot, AdS 3 Partition Functions Reconstructed
Original
2007
Later among the works it cites.
S. Carlip, S. Deser, A. Waldron and D. K. Wise, Cosmological Topologically Massive Gravitons and Photons,’
2008
Closest in time.

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