# 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} }

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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