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Article Dans Une Revue Advances in Theoretical and Mathematical Physics Année : 2007

Quantization of strings and branes coupled to BF theory

John C. Baez
  • Fonction : Auteur

Résumé

BF theory is a topological theory that can be seen as a natural generalization of 3-dimensional gravity to arbitrary dimensions. Here we show that the coupling to point particles that is natural in three dimensions generalizes in a direct way to BF theory in d dimensions coupled to (d-3)-branes. In the resulting model, the connection is flat except along the membrane world-sheet, where it has a conical singularity whose strength is proportional to the membrane tension. As a step towards canonically quantizing these models, we show that a basis of kinematical states is given by `membrane spin networks', which are spin networks equipped with extra data where their edges end on a brane.

Dates et versions

hal-00470090 , version 1 (03-04-2010)

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John C. Baez, Alejandro Perez. Quantization of strings and branes coupled to BF theory. Advances in Theoretical and Mathematical Physics, 2007, 11 (3), ⟨10.4310/ATMP.2007.v11.n3.a4⟩. ⟨hal-00470090⟩
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