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On the Relations between Gravity and BF Theories

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arxiv 1201.4247 v3 pith:RTEGGK2I submitted 2012-01-20 gr-qc hep-th

classification gr-qchep-th
keywords actiongravityrelationstheoriesclassicaldevelopmentsexistingformulations
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Symmetry TFTs for Continuous Spacetime Symmetries

    hep-th 2025-09 conditional novelty 7.0 of 10

    Continuous spacetime symmetries can be encoded in a (d+1)-dimensional BF/Chern-Simons topological field theory, whose boundary reproduces symmetry generators, symmetry breaking, and anomalies.

  2. On the Plebanski Formulation with Energy Momentum

    gr-qc 2026-06 unverdicted novelty 3.0 of 10

    Explicit construction of the Plebanski matter source T^i via Kulkarni-Nomizu lifting of the trace-free energy-momentum tensor that reproduces Krasnov's definition and yields the Reissner-Nordström-de Sitter solution.

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