Abelian duality in three dimensions
classification
✦ hep-th
math-phmath.MP
keywords
abeliandualitytheorycalculatedcircle-valuedclosedcompareddimensions
read the original 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.
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