Charges of Monopole Operators in $\widehat{ADE}$ Chern-Simons Quiver Gauge Theories

Abstract

We compute R-charges of the BPS-monopole operators in $\mathcal{N}=3$ $\widehat{ADE}$ Chern-Simons quiver gauge theories, along the lines of the work of Benna, Klebanov and Klose in \cite{bkk}. 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.

arXiv comment72 pages, 6 figures. This article supersedes arXiv:1809.10731

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Cited by in corpus (1)

• Superconformal Index for $\mathcal{N}=3$ $\widehat{ADE}$ Chern-Simons Quiver Gauge Theories