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Published December 2002 | Published
Journal Article Open

Monopole operators and mirror symmetry in three dimensions


We study vortex-creating, or monopole, operators in 3d CFTs which are the infrared limit of N = 2 and N = 4 supersymmetric QEDs in three dimensions. Using large-N-f expansion, we construct monopole operators which are primaries of short representations of the superconformal algebra. Mirror symmetry in three dimensions makes a number of predictions about such operators, and our results confirm these predictions. Furthermore, we argue that some of our large-N-f results are exact. This implies, in particular, that certain monopole operators in N = 4 d = 3 SQED with N-f = 1 are free fields. This amounts to a proof of 3d mirror symmetry in a special case.

Additional Information

© Institute of Physics and IOP Publishing Limited 2002. Received 6 November 2002, accepted for publication 13 December 2002. Published 27 January 2003. We would like to thank Jim Gates, Takuya Okuda, Hiroshi Ooguri, John Preskill, and Mark Wise for discussions. A.K. is also grateful to Matt Strassler for numerous conversations during the years of 1998 and 1999 which contributed to the genesis of this paper. This work was supported in part by a DOE grant DE-FG03-92-ER40701.

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August 21, 2023
October 13, 2023