A new vacuum for loop quantum gravity

  title={A new vacuum for loop quantum gravity},
  author={Bianca Dittrich and Marc Geiller},
  journal={Classical and Quantum Gravity},
We construct a new vacuum and representation for loop quantum gravity. Because the new vacuum is based on BF theory, it is physical for (2+1)-dimensional gravity, and much closer to the spirit of spin foam quantization in general. To construct this new vacuum and the associated representation of quantum observables, we introduce a modified holonomy–flux algebra that is cylindrically consistent with respect to the notion of refinement by time evolution suggested in Dittrich and Steinhaus (2013… 
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