Abelian duality in three dimensions

Abstract

Abelian duality on the closed three-dimensional Riemannian manifold M is discussed. Partition functions for the ordinary U(1) gauge theory and a circle-valued scalar field theory on M are explicitly calculated and compared. It is shown that the both theories are mutually dual.

12 pages, final version

References in corpus (2)

• Unification Scale, Proton Decay, And Manifolds Of G_2 Holonomy
• Abelian Duality and Abelian Wilson Loops

Cited by in corpus (2)

• Superconformal index on ${\mathbb{RP}}^2\times {\mathbb{S}}^1$ and mirror symmetry
• Abelian Duality for Generalised Maxwell Theories