Conformal edge currents in Chern-Simons theories
- Syracuse Univ., NY (United States). Dept. of Physics
- Dipartimento di Scienze Fisiche dell'Universita di Napoli, Mostra d'Oltremare pad. 19, 80125 Napoli (IT)
In this paper, the authors develop elementary canonical methods for the quantization of Abelian and non-Abelian Chern-Simons actions, using well-known ideas in gauge theories and quantum gravity. The authors' approach does not involve choice of gauge or clever manipulations of functional integrals. When the spatial slice is a disc, it yields Witten's edge states carrying a representation of the Kac-Moody algebra. The canonical expressions for the generators of diffeomorphisms on the boundary of the disc are also found, and it is established that they are the Chern-Simons version of the Sugawara construction. This paper is a prelude to the authors' future publications on edge states, sources, vertex operators, and their spin and statistics in 3D and 4D topological field theories.
- OSTI ID:
- 7172774
- Journal Information:
- International Journal of Modern Physics A; (United States), Vol. 7:19; ISSN 0217-751X
- Country of Publication:
- United States
- Language:
- English
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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
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TOPOLOGY
ALGEBRA
CONFORMAL GROUPS
GAUGE INVARIANCE
INTEGRALS
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QUANTUM GRAVITY
SPIN
STATISTICS
VERTEX FUNCTIONS
ANGULAR MOMENTUM
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INVARIANCE PRINCIPLES
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MATHEMATICS
PARTICLE PROPERTIES
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