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On mirror symmetry in three dimensional Abelian gauge theories

Kapustin, Anton and Strassler, Matthew J. (1999) On mirror symmetry in three dimensional Abelian gauge theories. Journal of High Energy Physics, 1999 (4). Art. No. 021. ISSN 1029-8479. http://resolver.caltech.edu/CaltechAUTHORS:KAPjhep99

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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 N-f limit.


Item Type:Article
Additional Information:Copyright © Institute of Physics and IOP Publishing Limited 1999. Received 1 April 1999, accepted for publication 23 April 1999. Published 6 August 1999. We thank M. Berkooz, S.J. Gates, K. Intriligator, N. Seiberg, F. Wilczek and E. Witten for discussions. The work of A.K. was supported by Department of Energy grant DE-FG02-90ER40542; that of M.J.S. was supported in part by National Science Foundation grant NSF PHY-9513835 and by the W.M. Keck Foundation.
Subject Keywords:field theories in lower dimensions; duality in gauge field theories; Chern-Simons theories; supersymmetry and duality
Record Number:CaltechAUTHORS:KAPjhep99
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:KAPjhep99
Alternative URL:http://dx.doi.org/10.1088/1126-6708/1999/04/021
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2060
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:06 Mar 2006
Last Modified:26 Dec 2012 08:47

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