论文标题
引导库仑和希格斯分支机构操作员
Bootstrapping Coulomb and Higgs branch operators
论文作者
论文摘要
我们将数值共形性引导程序应用于$ 4D $ $ \ MATHCAL {n} = 2 $ SUPERCON -CONSTORTAL THEERION，以$ 4D $ \ MATHCAL {N} = 2 $。我们首先重新访问库仑分支运营商的单个相关器的先前结果。特别是，我们为某些选定的Argyres-Douglas型号提供了OPE系数的改进范围，并将其与最近的工作进行了比较，在该工作中，在大型$ R $ Charge中获得了相同的咖啡。所有方法之间都有坚实的一致性。改进的边界可用于提取Argyres-Douglas模型的近似光谱，然后可以将其用作指南，以便将这些理论拐弯到保形尺寸空间的数值岛。当存在风味对称性时，我们通过包括库仑分支运算符的混合相关器和Moment Map（Higgs分支运算符，与风味电流相同的多重组中）来补充分析。计算相关的超符号块后，我们将数值机械应用于混合系统。我们对出现在新渠道中的CFT数据进行了一般限制，特别强调了具有非平凡风味对称性的最简单的Argyres-Douglas模型。
We apply the numerical conformal bootstrap to correlators of Coulomb and Higgs branch operators in $4d$ $\mathcal{N}=2$ superconformal theories. We start by revisiting previous results on single correlators of Coulomb branch operators. In particular, we present improved bounds on OPE coefficients for some selected Argyres-Douglas models, and compare them to recent work where the same cofficients were obtained in the limit of large $r$ charge. There is solid agreement between all the approaches. The improved bounds can be used to extract an approximate spectrum of the Argyres-Douglas models, which can then be used as a guide in order to corner these theories to numerical islands in the space of conformal dimensions. When there is a flavor symmetry present, we complement the analysis by including mixed correlators of Coulomb branch operators and the moment map, a Higgs branch operator which sits in the same multiplet as the flavor current. After calculating the relevant superconformal blocks we apply the numerical machinery to the mixed system. We put general constraints on CFT data appearing in the new channels, with particular emphasis on the simplest Argyres-Douglas model with non-trivial flavor symmetry.
