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June 2007 Quantization of strings and branes coupled to BF theory
John C. Baez , Alejandro Perez
Adv. Theor. Math. Phys. 11(3): 451-469 (June 2007).

Abstract

BF theory is a topological theory that can be seen as a natural generalization of three-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.

Citation

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John C. Baez . Alejandro Perez. "Quantization of strings and branes coupled to BF theory." Adv. Theor. Math. Phys. 11 (3) 451 - 469, June 2007.

Information

Published: June 2007
First available in Project Euclid: 24 July 2007

zbMATH: 1147.83015
MathSciNet: MR2322533

Rights: Copyright © 2007 International Press of Boston

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Vol.11 • No. 3 • June 2007
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