Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1844398 | Nuclear Physics B | 2006 | 32 Pages |
Abstract
We explicitly determine the symplectic structure on the phase space of Chern-Simons theory with gauge group Gâgâ on a three-manifold of topology RÃSg,nâ, where Sg,nâ is a surface of genus g with n+1 punctures. At each puncture additional variables are introduced and coupled minimally to the Chern-Simons gauge field. The first n punctures are treated in the usual way and the additional variables lie on coadjoint orbits of Gâgâ. The (n+1)st puncture plays a distinguished role and the associated variables lie in the cotangent bundle of Gâgâ. This allows us to impose a curvature singularity for the Chern-Simons gauge field at the distinguished puncture with an arbitrary Lie algebra valued coefficient. The treatment of the distinguished puncture is motivated by the desire to construct a simple model for an open universe in the Chern-Simons formulation of (2+1)-dimensional gravity.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
C. Meusburger, B.J. Schroers,