Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-09-05
Int.J.Mod.Phys.A12:1013-1022,1997
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, Latex, 2 eps-figures. Talk presented at the workshop on low dimensional field theory, Telluride, USA, August 1996
Scientific paper
10.1142/S0217751X97000748
In this talk I describe recent work (hep-th/9606029) in which I classified all conceivable 2+1 dimensional Chern-Simons (CS) theories with continuous compact abelian gauge group or finite abelian gauge group. The CS theories with finite abelian gauge group that can be obtained from the spontaneous breakdown of a CS theory with gauge group the direct product of various compact U(1) gauge groups were also identified. Those that can not be reached in this way are actually the most interesting since they lead to nonabelian phenomena such as nonabelian braid statistics, Alice fluxes and Cheshire charges and quite generally lead to dualities with 2+1 dimensional theories with a nonabelian finite gauge group.
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