2+1D loop quantum gravity on the edge

@article{Freidel201921DL,
  title={2+1D
 loop quantum gravity on the edge},
  author={Laurent Freidel and Florian Girelli and Barak Shoshany},
  journal={Physical Review D},
  year={2019}
}
We develop a new perspective on the discretization of the phase space structure of gravity in 2+1 dimensions as a piecewise-flat geometry in 2 spatial dimensions. Starting from a subdivision of the continuum geometric and phase space structure into elementary cells, we obtain the loop gravity phase space coupled to a collection of effective particles carrying mass and spin, which measure the curvature and torsion of the geometry. We show that the new degrees of freedom associated to the… Expand

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