论文标题
$ \ widehat {ade} $ chern-simons Quiver仪表理论的单极操作员的费用
Charges of Monopole Operators in $\widehat{ADE}$ Chern-Simons Quiver Gauge Theories
论文作者
论文摘要
我们在$ \ mathcal {n} = 3 $ $ $ \ wideHat {ade} $ Chern-Simons Qimons Quiver仪表理论上计算BPS单键杆操作员的R-Charge，沿Benna，Klebanov和Klose的作品界线。这些理论根据$ \ MATHCAL {n} = 3 $超对称Chern-Simons Yang-Mills Theories的理论具有弱耦合的紫外线完成。在紫外线限制中，单极操作员通过经典溶液很好地近似。我们为这些理论构建了经典的BP和抗BPS单极解决方案，这些理论保留了$ \ frac {1} {3} $ supersymmetry沿RG流。我们计算在这些背景下的$ su（2）_r $电荷，并表明每个箭量理论中量化的$ su（2）_r $电荷的最小值为零。
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.
