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Monopole operators and mirror symmetry in three dimensions

Borokhov, Vadim and Kapustin, Anton and Wu, Xinkai (2002) Monopole operators and mirror symmetry in three dimensions. Journal of High Energy Physics, 2002 (12). Art. No. 044. ISSN 1126-6708. https://resolver.caltech.edu/CaltechAUTHORS:BORjhep02b

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Abstract

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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/hep-th/0207074arXivDiscussion Paper
https://doi.org/10.1088/1126-6708/2002/12/044DOIUNSPECIFIED
https://doi.org/10.1088/1126-6708/2002/12/044DOIUNSPECIFIED
ORCID:
AuthorORCID
Kapustin, Anton0000-0003-3903-5158
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.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG03-92-ER40701
Subject Keywords:field theories in lower dimensions; 1/N expansion; duality in gauge field theories; supersymmetry and duality
Issue or Number:12
Record Number:CaltechAUTHORS:BORjhep02b
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:BORjhep02b
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2395
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:03 Apr 2006
Last Modified:02 Oct 2019 22:53

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