Phys. Rev. D 61, 085022 (2000) [6 pages]Remarks on 2+1 self-dual Chern-Simons gravityReceived 1 July 1999; published 28 March 2000 We study 2+1 Chern-Simons gravity at the classical action level. In particular we rederive the linear combinations of the “standard” and “exotic” Einstein actions, from the (anti-)self-duality of the “internal” Lorentzian indices. The relation to a genuine four-dimensional (anti-)self-dual topological theory greatly facilitates the analysis and its relation to hyperbolic three-dimensional geometry. Finally a non-Abelian vector field “dual” action is also obtained. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.61.085022
DOI:
10.1103/PhysRevD.61.085022
PACS:
11.15.-q, 04.20.Gz, 11.10.Ef
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