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doi:10.1016/0550-3213(92)90539-N 
Copyright © 1992 Published by Elsevier Science B.V. All rights reserved.
On the multiparticle phase space in Chern-Simons gravity*1
Received 20 June 1991;
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Abstract
Point-like sources in the Chern-Simons gauge theory of gravity in 2 + 1 dimensions are described by their Poincaré charges. They are the momenta, p(n)a, and angular momenta, j(n)a, of the particles. In Poincaré gravity, the coordinates of this representation are Poincaré vectors, living in an internal space,
, which is attached to the particle trajectories. Equivalently, from the Einstein gravity point of view the particles are described by their space-time coordinates and momenta. However, because space-time is generally multiconical, and
is globally minkowskian in the Poincaré gauge theory, the relationship between these two descriptions of multiparticle systems is obscure. In a previous paper, we had established this relationship for a single-particle system. Here we generalize the procedure to the multiparticle case.
