论文标题
3D $ \ MATHCAL {n} = 6 $ Bootstrap：从较高的旋转到字符串再到膜
The 3d $\mathcal{N}=6$ Bootstrap: From Higher Spins to Strings to Membranes
论文作者
论文摘要
我们通过将数值引导技术与使用超对称性定位得出的精确结果相结合，研究了3D $ {\ cal n} = 6 $ scfts的空间。首先，我们得出应力张量超级符号主函数的四点函数的超符号块分解。 We then use supersymmetric localization results for the ${\cal N} = 6$ $U(N)_k\times U(N+M)_{-k}$ Chern-Simons-matter theories to determine two protected OPE coefficients for many values of $N,M,k$.这两个精确的输入与数值引导程序结合使用，以计算$ n，k $ in $ m = 0 $的精确严格岛屿，以便我们可以在带有小$ k $的M理论二元组之间非扰动地插入SCFT，而大型$ k $ in Bigal $ k $。我们还提供了证据表明，$ u（1）_ {2M} \ times u（1+m）_ { - 2M} $理论的定位结果，该_ { - 2M} $理论具有类似矢量的大$ m $限制对高旋转理论的二重性，使Bootstrap dual actable datus actrap date bootstrap bungs in A Bootstrap bunbs in A Bootstrap bunbss for某些受保护的CFT数据。极端功能使我们可以猜想为该理论重建低洼的CFT数据。
We study the space of 3d ${\cal N} = 6$ SCFTs by combining numerical bootstrap techniques with exact results derived using supersymmetric localization. First we derive the superconformal block decomposition of the four-point function of the stress tensor multiplet superconformal primary. We then use supersymmetric localization results for the ${\cal N} = 6$ $U(N)_k\times U(N+M)_{-k}$ Chern-Simons-matter theories to determine two protected OPE coefficients for many values of $N,M,k$. These two exact inputs are combined with the numerical bootstrap to compute precise rigorous islands for a wide range of $N,k$ at $M=0$, so that we can non-perturbatively interpolate between SCFTs with M-theory duals at small $k$ and string theory duals at large $k$. We also present evidence that the localization results for the $U(1)_{2M}\times U(1+M)_{-2M}$ theory, which has a vector-like large-$M$ limit dual to higher spin theory, saturates the bootstrap bounds for certain protected CFT data. The extremal functional allows us to then conjecturally reconstruct low-lying CFT data for this theory.
