Year: 1992
Type: article
Abstract: It is shown that the three-dimensional lattice theory defined by Ponzano and Regge is equivalent to the ISO(3) Chern-Simons gauge theory, which is a three-dimensional quantum gravity with Euclidean signature and a zero cosmological constant. And its regularized version defined by Turaev and Viro, which is the q-analogue of the Ponzano-Regge model, is suggested to be equivalent to the SO(4) Chern-Simons gauge theory, which is a three-dimensional quantum gravity with Euclidean signature and a cosmological constant proportional to 1/k2, where q = 2πi/(k+2).
DOI: 10.1143/ptps.110.191
Author: Naoki Sasakura
Institution: Kyoto University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1993961543