The Constraint Algebra of Topologically Massive AdS Gravity

Abstract

Three-dimensional topologically massive AdS gravity has a complicated constraint algebra, making it difficult to count nonperturbative degrees of freedom. I show that a new choice of variables greatly simplifies this algebra, and confirm that the theory contains a single propagating mode for all values of the mass parameter and the cosmological constant. As an added benefit, I rederive the central charges and conformal weights of the boundary conformal field theory from an explicit analysis of the asymptotic algebra of constraints.

18 pages; v2: new section on chirality of boundary theory, some minor clarifications and corrected typos, should roughly agree with version to appear in JHEP

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• Holographic Renormalization of New Massive Gravity
• Erratum to `Instability in cosmological topologically massive gravity at the chiral point', arXiv:0805.2610
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• Extended massive gravity in three dimensions
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• Spontaneously Broken 3d Hietarinta/Maxwell Chern-Simons Theory and Minimal Massive Gravity
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