Meusburger C, Schönfeld T (2013)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2013
Publisher: World Scientific Publishing
Book Volume: 10
Article Number: 1360004
Journal Issue: 8
DOI: 10.1142/S0219887813600049
We summarize the results obtained by applying Dirac's gauge fixing formalism to the combinatorial description of the Chern-Simons formulation of (2+1)-gravity and their implications for the symmetries of the quantum theory. While the combinatorial description of the phase space exhibits standard Poisson-Lie symmetries, every gauge fixing condition based on two point particles yields a Poisson structure determined by a dynamical classical r-matrix. By considering transformations between different gauge fixing conditions, it is possible to classify all gauge fixed Poisson structures in terms of two standard solutions of the dynamical classical Yang-Baxter equation. We discuss the conclusions that can be drawn from this about the symmetries of (2+1)-dimensional quantum gravity. © 2013 World Scientific Publishing Company.
APA:
Meusburger, C., & Schönfeld, T. (2013). Gauge fixing and quantum group symmetries in (2+1)-gravity. International Journal of Geometric Methods in Modern Physics, 10(8). https://dx.doi.org/10.1142/S0219887813600049
MLA:
Meusburger, Cathérine, and Torsten Schönfeld. "Gauge fixing and quantum group symmetries in (2+1)-gravity." International Journal of Geometric Methods in Modern Physics 10.8 (2013).
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