Combinatorics

Physics

Chern–Simons theory

Mathematics

Mathematical physics

Particle physics

Supersymmetry

Abelian group

Magnetic monopole

Gauge theory

Supercharge

Quantum electrodynamics

Theoretical physics

Fermion

Quantum mechanics

Supersymmetric gauge theory

Journal of High Energy Physics

A bstract 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.

Note on monopole operators in Chern-Simons-matter theories