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Canonical formulations of full nonlinear topologically massive gravity

Deser, S. and Xiang, X. (1991) Canonical formulations of full nonlinear topologically massive gravity. Physics Letters B, 263 (1). pp. 39-43. ISSN 0370-2693. doi:10.1016/0370-2693(91)91704-Y.

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First-order forms of the complete nonlinear Einstein plus Chern-Simons third-derivative-order action are exhibited in both metric and dreibein forms. The “hamiltonians” are combinations of diffeomorphism and tangent space rotation generators as expected of generally covariant systems; the pure Chern-Simons hamiltonian has an additional, conformal transformation, term. These constraints reduce the apparent number of degrees of freedom to 1 and 0 respectively. The constraint algebras close, as required by this counting, without second-class constraints. The nature of the noninvariant terms in the Chern-Simons lagrangian density is discussed. For comparison, the linearized limit and the corresponding nonabelian vector action's canonical form are also given.

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Deser, S.0000-0001-9285-9434
Additional Information:© 1991 Elsevier. Received 4 March 1991. This work was supported in part by NSF Grant #88-04561. S.D. also thanks the Physics Department at UCLA for hospitality during part of this work. We enjoyed many useful discussions with Jim McCarthy.
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Official Citation:S. Deser, X. Xiang, Canonical formulations of full nonlinear topologically massive gravity, Physics Letters B, Volume 263, Issue 1, 4 July 1991, Pages 39-43, ISSN 0370-2693, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73021
Deposited By: George Porter
Deposited On:21 Dec 2016 15:46
Last Modified:11 Nov 2021 05:10

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