Derivation of all symmetries from first-class constraints and quantization in 2 + 1 dimensional supergravity-Reference-Cited by-同舟云学术

Derivation of all symmetries from first-class constraints and quantization in 2 + 1 dimensional supergravity

Published:2014-02 Issue:2 Volume:92 Page:145-148
ISSN:0008-4204
Container-title:Canadian Journal of Physics
language:en
Short-container-title:Can. J. Phys.

Author:

McKeon D.G.C.¹

Affiliation:

1. Department of Applied Mathematics, The University of Western Ontario, London, ON N6A 5B7, Canada; Department of Mathematics and Computer Science, Algoma University, Sault St. Marie, ON P6A 2G4, Canada.

Abstract

The first class constraints in N = 1 supergravity in 2 + 1 dimensions are used to construct a generator of three gauge symmetries (including a local supersymmetry) that leave the action invariant. The algebra of these symmetries closes. This generator is used to quantize the model; a ghost involving both bosonic and fermionic components arises.

Publisher

Canadian Science Publishing

Subject

General Physics and Astronomy

Link

http://www.nrcresearchpress.com/doi/pdf/10.1139/cjp-2012-0233

Reference20 articles.

1. S. Carlip. Quantum Gravity in 2 + 1 Dimensions. Cambridge University Press, Cambridge. 1988.

2. Topology-changing amplitudes in 2 + 1 dimensional gravity

3. The Hamiltonian formulation of tetrad gravity: Three-dimensional case

4. Local supersymmetry in (2+1) dimensions. I. Supergravity and differential forms

5. A Chern-Simons action for three-dimensional anti-de Sitter supergravity theories

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