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Canonical structure of topologically massive gravity with a cosmological constant

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arxiv 0812.4742 v3 pith:6F2ZM3SS submitted 2008-12-27 gr-qc

classification gr-qc
keywords gravityasymptoticcanonicalconstantcosmologicalmassivestructuretopologically
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We study the canonical structure of three-dimensional topologically massive gravity with a cosmological constant, using the full power of Dirac's method for constrained Hamiltonian systems. It is found that the dimension of the physical phase space is two per spacetime point, which corresponds to a single Lagrangian degree of freedom. The analysis of the AdS asymptotic region reveals a remarkable relation to 3D gravity with torsion: in the limit of vanishing torsion, the conserved charges and asymptotic symmetries of the two theories become identical.

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  1. Gauge Symmetries, Exact Symmetries and Conserved Charges in Minimal Massive Gravity

    hep-th 2025-07 conditional novelty 6.0 of 10

    Minimal Massive Gravity has three gauge symmetries, and a newly constructed transformation generates exact symmetries and a conserved charge in a restricted parameter limit.

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