TL;DR
This paper formulates Poisson Chern-Simons gauge theories on compact group manifolds, connecting large representation limits of noncommutative Chern-Simons to membrane theory sectors.
Contribution
It introduces a new formulation of Poisson Chern-Simons theories on group manifolds, highlighting their relation to large N limits of noncommutative Chern-Simons and membrane models.
Findings
Describes Poisson Chern-Simons gauge theories on compact groups.
Links large representation limits of noncommutative Chern-Simons to membrane sectors.
Identifies invariant excitations under stability group actions.
Abstract
We formulate Poisson Chern-Simons gauge theories on compact group manifolds. These describe a sector of the large representation limit of noncommutative Chern-Simons in the same way as the light-cone formulation of the membrane action describe a sector of the large N Matrix model. While the formulation we give is on a group manifold, only excitations that are invariant under the left action of the stability group of a weight are allowed.
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