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キーワード:
General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
要旨:
We discuss the canonical treatment and quantization of matter coupled
supergravity in three dimensions, with special emphasis on $N=2$ supergravity.
We then analyze the quantum constraint algebra; certain operator ordering
ambiguities are found to be absent due to local supersymmetry. We show that the
supersymmetry constraints can be partially solved by a functional analog of the
method of characteristics. We also consider extensions of Wilson loop integrals
of the type previously found in ordinary gravity, but now with connections
involving the bosonic and fermionic matter fields in addition to the
gravitational connection. In a separate section of this paper, the canonical
treatment and quantization of non-linear coset space sigma models are discussed
in a self contained way.
