BF Description of Higher-Dimensional Gravity Theories

@inproceedings{Freidel1999BFDO,
  title={BF Description of Higher-Dimensional Gravity Theories},
  author={Laurent Freidel and Kirill V. Krasnov and Raymond Puzio},
  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 for all higher-dimensional gravity theories: in any dimension gravity can be described as a constrained BF theory. We describe in details the structure of these constraints. Then we discuss the " spin foam… CONTINUE READING
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