UvA-WINS-ITFA 98-07 Topological field theory and the quantum double of SU ( 2 )

  title={UvA-WINS-ITFA 98-07 Topological field theory and the quantum double of SU ( 2 )},
  author={F. Alexander Bais and Nicolas Muller},
We study the quantum mechanics of a system of topologically interacting particles in 2+1 dimensions, which is described by coupling the particles to a Chern–Simons gauge field of an inhomogeneous group. Analysis of the phase space shows that for the particular case of ISO(3) Chern–Simons theory the underlying symmetry is that of the quantum double D(SU(2)), based on the homogeneous part of the gauge group. This in contrast to the usual q-deformed gauge group itself, which occurs in the case of… CONTINUE READING
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