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Note on monopole operators in Chern-Simons-matter theories

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A bstractMonopole operators in Chern-Simons theories with charged matter have been studied using the state-operator map in CFTs, as states on ℝ × S2 with background magnetic flux on S2.… Click to show full abstract

A bstractMonopole operators in Chern-Simons theories with charged matter have been studied using the state-operator map in CFTs, as states on ℝ × S2 with background magnetic flux on S2. 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 ℝ3, 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.

Keywords: chern simons; matter theories; monopole operators; operators chern; simons matter; matter

Journal Title: Journal of High Energy Physics
Year Published: 2019

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