标题： 具有U(1)全局对称性的三维共形场论的图册 显示英文标题

标题： An Atlas for 3d Conformal Field Theories with a U(1) Global Symmetry

摘要： 我们展示了一组针对带有U(1)全局对称性的三维CFT的数值bootstrap计算。我们通过自由费米子、自由标量以及广义自由矢量场理论中低能算符的OPE系数界限计算来检验方法的准确性并固定约定。然后，我们在Gross-Neveu-Yukawa模型、$O(2)$模型以及$O(N)$模型的大型$N$极限下计算了标量算符的新OPE界限。此外，我们还展示了这些三维CFT的一些排除图。特别是，我们研究了与交叉对称性兼容的低能标量算符的偶数和奇数宇称空间。除了恢复已知的理论外，还有一些拐点表明存在新的未知理论。 显示英文摘要

摘要： We present a collection of numerical bootstrap computations for 3d CFTs with a U(1) global symmetry. We test the accuracy of our method and fix conventions through a computation of bounds on the OPE coefficients for low-lying operators in the free fermion, free scalar, and generalised free vector field theories. We then compute new OPE bounds for scalar operators in the Gross-Neveu-Yukawa model, $O(2)$ model, and large $N$ limit of the $O(N)$ model. Additionally, we present a number of exclusion plots for such 3d CFTs. In particular, we look at the space of even and odd parity scalar operators in the low-lying spectrum that are compatible with crossing symmetry. As well as recovering the known theories, there are some kinks that indicate new unknown theories.