Flux formulation of loop quantum gravity: classical framework

@article{Dittrich2014FluxFO,
  title={Flux formulation of loop quantum gravity: classical framework},
  author={Bianca Dittrich and Marc Geiller},
  journal={Classical and Quantum Gravity},
  year={2014},
  volume={32}
}
We recently introduced a new representation for loop quantum gravity (LQG), which is based on the BF vacuum and is in this sense much nearer to the spirit of spin foam dynamics. In the present paper we lay out the classical framework underlying this new formulation. The central objects in our construction are the so-called integrated fluxes, which are defined as the integral of the electric field variable over surfaces of codimension one, and related in turn to Wilson surface operators. These… 
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