Canonical Quantum Supergravity in Three Dimensions, (some lines lost during submission)

Details Canonical Quantum Supergravity in Three Dimensions, (some lines lost during submission) Canonical Quantum Supergravity in Three Dimensions, (some lines lost during submission)

1993-06-15

arxiv.org/abs/gr-qc/9306018v2

Nucl.Phys. B411 (1994) 609-646

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

40 pages, LaTeX, DESY 93-073

Scientific paper

10.1016/0550-3213(94)90464-2

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.

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