标题： 三维共形场理论带有U(1)全局对称性的图集 显示英文标题

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

摘要： 我们为具有U(1)全局对称性的3d CFTs提供了一组数值bootstrap计算。 我们通过计算自由费米子、自由标量和广义自由矢量场理论中低能算符的OPE系数边界来测试我们方法的准确性并确定约定。 然后，我们计算了Gross-Neveu-Yukawa模型、$O(2)$模型以及$N$模型的大$O(N)$极限中标量算符的新OPE边界。 此外，我们还为这些3d CFTs呈现了一些排除图。 特别是，我们研究了与交叉对称性相容的低能谱中偶宇称和奇宇称标量算符的空间。 除了恢复已知理论外，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.