Global Aspects of Abelian Duality in Dimension Three

Abstract

In three dimensions, an abelian gauge field is related by duality to a free, periodic scalar field. Though usually considered on Euclidean space, this duality can be extended to a general three-manifold M, in which case topological features of M become important. Here I comment upon several of these features as related to the partition function on M. In a companion article, arXiv:1405.2483, I discuss similarly the algebra of operators on a surface of genus g.

arXiv comment62 pages, 1 figure, v2: references added

References in corpus (8)

• Target Space Duality in String Theory
• A Strong Coupling Test of S-Duality
• Duality, Quotients, and Currents
• Global Aspects of Electric-Magnetic Duality
• Unification Scale, Proton Decay, And Manifolds Of G_2 Holonomy
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Cited by in corpus (3)

• Superconformal index on ${\mathbb{RP}}^2\times {\mathbb{S}}^1$ and mirror symmetry
• A note on sphere free energy of $p$-form gauge theory and Hodge duality
• Abelian Duality for Generalised Maxwell Theories