Note on monopole operators in Chern-Simons-matter theories

Assel, Benjamin (0000 0001 2156 142X, Theory Department, CERN, CH-1211, Geneva 23, Switzerland)

14 March 2019

Abstract: Monopole operators in Chern-Simons theories with charged matter have been studied using the state-operator map in CFTs, as states on ℝ × S 2 with background magnetic flux on S 2 . Gauge invariance requires a dressing with matter modes which provides non-zero spin to the monopoles. In this note we propose a description of the monopole operators directly on ℝ 3 , as a singular behavior of the gauge and matter fields in the vicinity of the insertion point, with a dressing. We study abelian theories with a charged boson or a charged fermion. We extend the discussion to abelian supersymmetric Chern-Simons-matter theories and describe the BPS monopoles, which have spin and preserve a single supercharge. We match our results against the prediction from the superconformal index.

Published in: JHEP 1903 (2019) 074
Published by: Springer/SISSA
DOI: 10.1007/JHEP03(2019)074
arXiv: 1811.11111
License: CC-BY-4.0

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