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

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.

13 pages, latex, minor extension of the introduction and some comments added, to appear in Phys. Rev. D

References in corpus (3)

• Zeta-function regularization, the multiplicative anomaly and the Wodzicki residue
• Effective QED Actions: Representations, Gauge Invariance, Anomalies and Mass Expansions
• Duality between Topologically Massive and Self-Dual models

Cited by in corpus (4)

• Abelian Duality
• Massive Gauge Axion Fields
• Duality in massive spin 2 theories in 2+1 dimensions (In spanish)
• BF models, Duality and Bosonization on higher genus surfaces