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Loop Variables in Topological Gravity

Y. Bi·J. Gegenberg
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Abstract

We 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 $S^2\times S^1$.

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Y. Bi, J. Gegenberg. 1993-07-22. Loop Variables in Topological Gravity. https://doi.org/10.1088/0264-9381%2F11%2F4%2F008

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