Abstract
In three dimensions, an abelian gauge field is related by duality to a free, periodic scalar field. Though usually considered on \( {\mathrm{\mathbb{R}}}^3 \), 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, I discuss similarly the algebra of operators on a surface of genus g.
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Beasley, C. Global aspects of abelian duality in dimension three. J. High Energ. Phys. 2014, 146 (2014). https://doi.org/10.1007/JHEP08(2014)146
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DOI: https://doi.org/10.1007/JHEP08(2014)146