Monopole Operators and Mirror Symmetry in Three Dimensions | Zendy

Vadim Borokhov | Zendy; Anton Kapustin | Zendy; Xinkai Wu | Zendy

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Monopole Operators and Mirror Symmetry in Three Dimensions

Author(s) -

Vadim Borokhov,

Anton Kapustin,

Xinkai Wu

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/12/044

Subject(s) - magnetic monopole , symmetry (geometry) , physics , mirror symmetry , vortex , limit (mathematics) , theoretical physics , construct (python library) , pure mathematics , mathematical physics , quantum mechanics , mathematics , mathematical analysis , geometry , computer science , thermodynamics , programming language

We study vortex-creating, or monopole, operators in 3d CFTs which are theinfrared limit of N=2 and N=4 supersymmetric QEDs in three dimensions. Usinglarge-Nf expansion, we construct monopole operators which are primaries ofshort representations of the superconformal algebra. Mirror symmetry in threedimensions makes a number of predictions about such operators, and our resultsconfirm these predictions. Furthermore, we argue that some of our large-Nfresults are exact. This implies, in particular, that certain monopole operatorsin N=4 d=3 SQED with Nf=1 are free fields. This amounts to a proof of 3d mirrorsymmetry in a special case.Comment: 30 pages, latex. v2: references adde

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