This article is cited in 35 papers

On the relations between gravity and BF theories

Laurent Freidel^a, Simone Speziale<sup>b

a</sup> Perimeter Institute, 31 Caroline St N, Waterloo ON, N2L 2Y5, Canada
^b Centre de Physique Théorique, CNRS-UMR 7332, Luminy Case 907, 13288 Marseille, France

Abstract: We review, in the light of recent developments, the existing relations between gravity and topological BF theories at the classical level. We include the Plebanski action in both self-dual and non-chiral formulations, their generalizations, and the MacDowell–Mansouri action.

Keywords: Plebanski action, MacDowell–Mansouri action, BF gravity, TQFT, modified theories of gravity.

MSC: 83C45

Received: January 23, 2012; in final form May 18, 2012; Published online May 26, 2012

Language: English

DOI: 10.3842/SIGMA.2012.032

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ArXiv: 1201.4247