English

Abelian duality in three dimensions

High Energy Physics - Theory 2009-11-07 v4 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.hep-th/0210151,
  title  = {Abelian duality in three dimensions},
  author = {Boguslaw Broda and Grzegorz Duniec},
  journal= {arXiv preprint arXiv:hep-th/0210151},
  year   = {2009}
}

Comments

12 pages, final version