Combinatorial quantisation of Euclidean gravity in three dimensions
Schroers, Bernd J
arXiv, 0006228 / Harvested from arXiv
Text on arXiv
In the Chern-Simons formulation of Einstein gravity in 2+1 dimensions the phase space of gravity is the moduli space of flat G-connections, where G is a typically non-compact Lie group which depends on the signature of space-time and the cosmological constant. For Euclidean signature and vanishing cosmological constant, G is the three-dimensional Euclidean group. For this case the Poisson structure of the moduli space is given explicitly in terms of a classical r-matrix. It is shown that the quantum R-matrix of the quantum double D(SU(2)) provides a quantisation of that Poisson structure.
Publié le : 2000-06-30
Classification:  Mathematics - Quantum Algebra,  General Relativity and Quantum Cosmology,  High Energy Physics - Theory,  Mathematical Physics,  81R50 (Primary) 83C45 (Secondary) 
@article{0006228,
     author = {Schroers, Bernd J},
     title = {Combinatorial quantisation of Euclidean gravity in three dimensions},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0006228}
}

Schroers, Bernd J. Combinatorial quantisation of Euclidean gravity in three dimensions. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0006228/