Abstract
We compute R-charges of the BPS-monopole operators in \( \mathcal{N} \) = 3 \( \hat{ADE} \) Chern-Simons quiver gauge theories, along the lines of the work of Benna, Klebanov and Klose in [1]. These theories have a weakly coupled UV completion in terms of \( \mathcal{N} \) = 3 supersymmetric Chern-Simons Yang-Mills theories. In the UV limit the monopole operators are well approximated by classical solutions. We construct classical BPS and anti-BPS monopole solutions to these theories which preserve \( \frac{1}{3} \) supersymmetry all along the RG flow. We compute the SU(2)R charges in these backgrounds and show that the smallest possible value of quantised SU(2)R charge is zero in each quiver theory.
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Patra, M. Charges of monopole operators in \( \hat{ADE} \) Chern-Simons quiver gauge theories. J. High Energ. Phys. 2020, 8 (2020). https://doi.org/10.1007/JHEP06(2020)008
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DOI: https://doi.org/10.1007/JHEP06(2020)008