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

Matschull, H.-.-J., & Nicolai, H. (1994). Canonical Quantum Supergravity in Three Dimensions, (some lines lost during submission). Nuclear Physics B, 411(2/3), 609-646. doi:10.1016/0550-3213(94)90464-2.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-64E2-2 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0012-64E3-F
Genre: Journal Article

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gr-qc_9306018 (Preprint), 331KB
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 Creators:
Matschull, H. -J., Author
Nicolai, H.1, 2, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, escidoc:24014              
2Institut für theoretische Physik, Universität Hamburg

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
 Abstract: 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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 Dates: 1993-06-151993-06-161994
 Publication Status: Published in print
 Pages: 40 pages, LaTeX, DESY 93-073
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 Table of Contents: -
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 Identifiers: arXiv: gr-qc/9306018
DOI: 10.1016/0550-3213(94)90464-2
URI: http://arxiv.org/abs/gr-qc/9306018
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Title: Nuclear Physics B
Source Genre: Journal
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Pages: - Volume / Issue: 411 (2/3) Sequence Number: - Start / End Page: 609 - 646 Identifier: -