Quantum gravity in three dimensions, Witten spinors and the quantisation of length

@article{Wieland2018QuantumGI,
  title={Quantum gravity in three dimensions, Witten spinors and the quantisation of length},
  author={Wolfgang Wieland},
  journal={Nuclear Physics},
  year={2018},
  volume={930},
  pages={219-234}
}
  • Wolfgang Wieland
  • Published 2018
  • Physics
  • Nuclear Physics
  • Abstract In this paper, I investigate the quantisation of length in euclidean quantum gravity in three dimensions. The starting point is the classical hamiltonian formalism in a cylinder of finite radius. At this finite boundary, a counter term is introduced that couples the gravitational field in the interior to a two-dimensional conformal field theory for an S U ( 2 ) boundary spinor, whose norm determines the conformal factor between the fiducial boundary metric and the physical metric in… CONTINUE READING

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