Equivalence of the Self-Dual Model and Maxwell-Chern-Simons Theory on Arbitrary Manifolds

preprint1999arXivOpen access

Abstract

Using a group-invariant version of the Faddeev-Popov method we explicitly obtain the partition functions of the Self-Dual Model and Maxwell-Chern-Simons theory. We show that their ratio coincides with the partition function of abelian Chern-Simons theory to within a phase factor depending on the geometrical properties of the manifold.

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