On mirror symmetry in three-dimensional abelian gauge theories
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Publication:1588584
DOI10.1088/1126-6708/1999/04/021zbMATH Open0953.81097arXivhep-th/9902033OpenAlexW1989071679MaRDI QIDQ1588584
Author name not available (Why is that?)
Publication date: 4 December 2000
Published in: (Search for Journal in Brave)
Abstract: We present an identity relating the partition function of N=4 supersymmetric QED to that of its dual under mirror symmetry. The identity is a generalized Fourier transform. Many known properties of abelian theories can be derived from this formula, including the mirror transforms for more general gauge and matter content. We show that N=3 Chern-Simons QED and N=4 QED with BF-type couplings are conformal field theories with exactly marginal couplings. Mirror symmetry acts on these theories as strong-weak coupling duality. After identifying the mirror of the gauge coupling (sometimes called the ``magnetic coupling) we construct a theory which is exactly mirror -- at all scales -- to N=4 SQED. We also study vortex-creation operators in the large limit.
Full work available at URL: https://arxiv.org/abs/hep-th/9902033
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