Discrete and Continuum Approaches to Three-Dimensional Quantum Gravity

Details Discrete and Continuum Approaches to Three-Dimensional Quantum Gravity Discrete and Continuum Approaches to Three-Dimensional Quantum Gravity

1991-08-20

arxiv.org/abs/hep-th/9108006v2

Mod.Phys.Lett.A6:3591-3600,1991

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

10.1142/S0217732391004140

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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