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On the Relations between Gravity and BF TheoriesKeywords: Plebanski action , MacDowell-Mansouri action , BF gravity , TQFT , modified theories of gravity 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.
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