Boundary conditions and symplectic structure in the Chern-Simons formulation of (2+1)-dimensional gravity
Meusburger C, Schroers B (2005)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2005
Journal
Publisher: Institute of Physics: Hybrid Open Access
Book Volume: 22
Pages Range: 3689-3724
Journal Issue: 17
DOI: 10.1088/0264-9381/22/17/021
Abstract
We propose a description of open universes in the Chern-Simons formulation of (2+1)-dimensional gravity where spatial infinity is implemented as a puncture. At this puncture, additional variables are introduced which lie in the cotangent bundle of the Poincaré group, and coupled minimally to the Chern-Simons gauge field. We apply this description of spatial infinity to open universes of general genus and with an arbitrary number of massive spinning particles. Using results of [9] we give a finite-dimensional description of the phase space and determine its symplectic structure. In the special case of a genus zero universe with spinless particles, we compare our result to the symplectic structure computed by Matschull in the metric formulation of (2+1)-dimensional gravity. We comment on the quantization of the phase space and derive a quantization condition for the total mass and spin of an open universe. © 2005 IOP Publishing Ltd.
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APA:
Meusburger, C., & Schroers, B. (2005). Boundary conditions and symplectic structure in the Chern-Simons formulation of (2+1)-dimensional gravity. Classical and Quantum Gravity, 22(17), 3689-3724. https://dx.doi.org/10.1088/0264-9381/22/17/021
MLA:
Meusburger, Cathérine, and Bernd Schroers. "Boundary conditions and symplectic structure in the Chern-Simons formulation of (2+1)-dimensional gravity." Classical and Quantum Gravity 22.17 (2005): 3689-3724.
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