Monopole operators and mirror symmetry in three-dimensions
Jul, 200229 pages
Published in:
- JHEP 12 (2002) 044
e-Print:
- hep-th/0207074 [hep-th]
Report number:
- CALT-68-2397
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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-Nf 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-Nf results are exact. This implies, in particular, that certain monopole operators in N=4 d=3 SQED with Nf=1 are free fields. This amounts to a proof of 3d mirror symmetry in a special case.- quantum electrodynamics
- dimension: 3
- field theory: conformal
- supersymmetry
- R parity
- monopole: operator
- vortex
- fermion: flavor
- expansion 1/N: flavor
- symmetry: mirror
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