BF Description of Higher-Dimensional Gravity Theories

@article{Freidel1999BFDO,
  title={BF Description of Higher-Dimensional Gravity Theories},
  author={Laurent Freidel and Kirill Krasnov and Raymond S Puzio},
  journal={arXiv: High Energy Physics - Theory},
  year={1999}
}
It is well known that, in the first-order formalism, pure three-dimensional gravity is just the BF theory. Similarly, four-dimensional general relativity can be formulated as BF theory with an additional constraint term added to the Lagrangian. In this paper we show that the same is true also for higher-dimensional Einstein gravity: in any dimension gravity can be described as a constrained BF theory. Moreover, in any dimension these constraints are quadratic in the B field. After describing in… 

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