A new realization of quantum geometry

@article{Bahr2015ANR,
  title={A new realization of quantum geometry},
  author={Benjamin Bahr and Bianca Dittrich and Marc Geiller},
  journal={Classical and Quantum Gravity},
  year={2015},
  volume={38}
}
We construct in this article a new realization of quantum geometry, which is obtained by quantizing the recently-introduced flux formulation of loop quantum gravity. In this framework, the vacuum is peaked on flat connections, and states are built upon it by creating local curvature excitations. The inner product induces a discrete topology on the gauge group, which turns out to be an essential ingredient for the construction of a continuum limit Hilbert space. This leads to a representation of… 
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