Abelian Duality
High Energy Physics - Theory
2009-10-31 v2
Abstract
We show that on three-dimensional Riemannian manifolds without boundaries and with trivial first real de Rham cohomology group (and in no other dimensions) scalar field theory and Maxwell theory are equivalent: the ratio of the partition functions is given by the Ray-Singer torsion of the manifold. On the level of interaction with external currents, the equivalence persists provided there is a fixed relation between the charges and the currents.
Cite
@article{arxiv.hep-th/9906143,
title = {Abelian Duality},
author = {Emil M. Prodanov and Siddhartha Sen},
journal= {arXiv preprint arXiv:hep-th/9906143},
year = {2009}
}
Comments
11 pages, LaTeX, no figures, a reference added, submitted to Phys. Rev. D