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28 March 2024
 
  » arxiv » gr-qc/9307031

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Loop Variables in Topological Gravity
Y. Bi ; J. Gegenberg ;
Date 22 Jul 1993
Journal Class. Quant. Grav. 11 (1994) 883
Subject gr-qc
AbstractWe examine the relationship between covariant and canonical (Ashtekar/Rovelli/Smolin) loop variables in the context of BF type topological field theories in 2+1 and 3+1 dimensions, with respective gauge groups SO(2,1) and SO(3,1). The latter model can be considered as the simplest topological gravity theory in 3+1 dimensions. We carry out the canonical quantization of this model in both the connection and loop representations, for the two spatial topologies $T^3$ and $S^2 imes S^1$.
Source arXiv, gr-qc/9307031
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