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Self-dual formulations of D = 3 gravity theories

Deser, S. and McCarthy, J. (1990) Self-dual formulations of D = 3 gravity theories. Physics Letters B, 246 (3-4). pp. 441-444. ISSN 0370-2693. doi:10.1016/0370-2693(90)90627-I.

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We present a novel description of linearized topologically massive gravity in which the connections, rather than metrics or dreibeins, are the fundamental variables, thereby reducing the derivative order from third ro second. The “metricity” of the affinities is implied by the field equations. The ostensible “Einstein” and “Chern-Simons” terms in the action each generate the other tensor in the field equations. The “Chern-Simons” term by itself actually represents a first order form of linearized Einstein gravity; we discuss the relation between their nonlinear extensions. We also point out that the self-dual description immediately explains why the vector Chern-Simons term does not induce anyon behavior in its sources when the Higgs term in present.

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Deser, S.0000-0001-9285-9434
Additional Information:© 1990 Elsevier. Received 5 June 1990. This work was supported in part by NSF grant PHY88-04561.
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Issue or Number:3-4
Record Number:CaltechAUTHORS:20161220-161053295
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Official Citation:S. Deser, J. McCarthy, Self-dual formulations of D=3 gravity theories, Physics Letters B, Volume 246, Issues 3–4, 30 August 1990, Pages 441-444, ISSN 0370-2693, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73023
Deposited By: George Porter
Deposited On:21 Dec 2016 15:45
Last Modified:11 Nov 2021 05:10

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