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Topological disorder operators in three-dimensional conformal field theory

Borokhov, Vadim and Kapustin, Anton and Wu, Xinkai (2002) Topological disorder operators in three-dimensional conformal field theory. Journal of High Energy Physics, 2002 (11). Art. No. 049. ISSN 1126-6708. https://resolver.caltech.edu/CaltechAUTHORS:BORjhep02a

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Abstract

Many abelian gauge theories in three dimensions flow to interacting conformal field theories in the infrared. We define a new class of local operators in these conformal field theories which are not polynomial in the fundamental fields and create topological disorder. They can be regarded as higher-dimensional analogues of twist and winding-state operators in free 2d CFTs. We call them monopole operators for reasons explained in the text. The importance of monopole operators is that in the Higgs phase, they create Abrikosov-Nielsen-Olesen vortices. We study properties of these operators in three-dimensional QED using large N-f expansion. In particular, we show that monopole operators belong to representations of the conformal group whose primaries have dimension of order N-f. We also show that monopole operators transform non-trivially under the flavor symmetry group, with the precise representation depending on the value of the Chern-Simons coupling.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/hep-th/0206054arXivDiscussion Paper
https://doi.org/10.1088/1126-6708/2002/11/049DOIUNSPECIFIED
https://doi.org/10.1088/1126-6708/2002/11/049DOIUNSPECIFIED
ORCID:
AuthorORCID
Kapustin, Anton0000-0003-3903-5158
Additional Information:© Institute of Physics and IOP Publishing Limited 2002. Received 6 November 2002, accepted for publication 26 November 2002. Published 7 January 2003. This work grew out of attempts by one of the authors (A.K.) and M. J. Strassler to improve on the last section of ref. [11]. A.K. would like to thank M. J. Strassler for numerous discussions which helped to realize the importance of fermionic zero modes. We also would like to thank J. Maldacena, T. Okuda, and H. Ooguri for useful conversations, and S. Sachdev for informing us about ref. [28]. 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; solitons monopoles and instantons; 1/N expansion; duality in gauge field theories
Issue or Number:11
Record Number:CaltechAUTHORS:BORjhep02a
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:BORjhep02a
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2397
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:03 Apr 2006
Last Modified:02 Oct 2019 22:53

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