Discrete and Continuum Approaches to Three-Dimensional Quantum Gravity

@article{Ooguri1991DiscreteAC,
  title={Discrete and Continuum Approaches to Three-Dimensional Quantum Gravity},
  author={Hirosi Ooguri and Naoki Sasakura},
  journal={Modern Physics Letters A},
  year={1991},
  volume={06},
  pages={3591-3600}
}
It is shown that, in the three-dimensional lattice gravity defined by Ponzano and Regge, the space of physical states is isomorphic to the space of gauge-invariant functions on the moduli space of flat SU(2) connections over a two-dimensional surface, which gives physical states in the ISO(3) Chern–Simons gauge theory. To prove this, we employ the q-analogue of this model defined by Turaev and Viro as a regularization to sum over states. A recent work by Turaev suggests that the q-analogue… Expand
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