Comment on "Cosmological Topological Massive Gravitons and Photons"

Abstract

In a recent paper (arXiv: 0801.4566) it was shown that all global energy eigenstates of asymptotically $Ad{S}_3$ chiral gravity have non-negative energy at the linearized level. This result was questioned (arXiv: 0803.3998) by Carlip, Deser, Waldron and Wise (CDWW), who work on the Poincare patch. They exhibit a linearized solution of chiral gravity and claim that it has negative energy and is smooth at the boundary. We show that the solution of CDWW is smooth only on that part of the boundary of $Ad{S}_3$ included in the Poincare patch. Extended to global $Ad{S}_3$, it is divergent at the boundary point not included in the Poincare patch. Hence it is consistent with the results of (arXiv: 0801.4566).

4 pages, comment on arXiv 0803.3998 [hep-th]

References in corpus (1)

• Lectures on black holes and the AdS_3 / CFT_2 correspondence

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• The CFT-interpolating Black Hole in Three Dimensions
• A Simple Proof of the Chiral Gravity Conjecture
• Canonical analysis of cosmological topologically massive gravity at the chiral point
• Hawking radiation from covariant anomalies in 2+1 dimensional black holes
• Logarithmic conformal field theory approach to topologically massive gravity
• Topologically massive gravity on AdS${}_2$ spacetimes