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Discrete and Continuum Approaches to Three-Dimensional Quantum Gravity

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arxiv hep-th/9108006 v2 pith:V3RU3H6G submitted 1991-08-20 hep-th

Discrete and Continuum Approaches to Three-Dimensional Quantum Gravity

Hirosi Ooguri , Naoki Sasakura This is my paper
classification hep-th
keywords spacegravityphysicalstatesthree-dimensionalapproacheschern-simonsconnections
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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.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Les Houches lectures on Spinfoam Path Integrals

    gr-qc 2026-07 accept novelty 2.0

    A pedagogical review of spinfoam path integrals, from 1d quantum mechanics and 2d BF theory through Ponzano-Regge/Turaev-Viro to the 4d EPRL model, accurate but with no new results.