Abelian Duality and Abelian Wilson Loops

Details Abelian Duality and Abelian Wilson Loops Abelian Duality and Abelian Wilson Loops

2002-10-25

arxiv.org/abs/hep-th/0210244v2

Commun.Math.Phys. 242 (2003) 473-500

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, Plain TeX, no figures, requires AMS font files AMSSYM.DEF and amssym.tex; an example and two references added

Scientific paper

10.1007/s00220-003-0942-1

We consider a pure U(1) quantum gauge field theory on a general Riemannian compact four manifold. We compute the partition function with Abelian Wilson loop insertions. We find its duality covariance properties and derive topological selection rules. Finally, we show that, to have manifest duality, one must assume the existence of twisted topological sectors besides the standard untwisted one.

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