The gauged WZW model is the GKO coset model coupled to a 2d topological field theory whose commutative Frobenius algebra End(B) controls an extra finite degeneracy.
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A Comment On Topological Degeneracy In Gauged WZW Models
The gauged WZW model is the GKO coset model coupled to a 2d topological field theory whose commutative Frobenius algebra End(B) controls an extra finite degeneracy.