Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-06-19
Phys.Rev. D61 (2000) 085022
Physics
High Energy Physics
High Energy Physics - Theory
16+1 pages, LaTeX file, no figures, clarifications and comments added, typos corrected and one reference added
Scientific paper
10.1103/PhysRevD.61.085022
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.
García-Compeán Héctor
Obregon Octavio
Ramirez Christian
Sabido Miguel
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