从手征反常到共形反常：共形场论关联函数的双重拷贝视角
From chiral to conformal anomalies: a double copy perspective for CFT correlators
AI总结：
该研究揭示四维共形场论中手征与共形反常的双重拷贝关系，通过关联函数和平直空间极限的延伸，建立两者结构间的直接联系。
AI中文摘要：
我们揭示了四维共形场论中手征反常与共形反常之间的双重拷贝关系。该关系从局域反常结构扩展至完整的动量空间三点关联函数，并通过其平直空间极限延伸至五维散射振幅。具体而言，与手征反常相关的宇称奇电流关联函数在平直空间极限下，会简化为陈-西蒙斯（Chern--Simons）相互作用产生的普适振幅；将这些反常电流关联函数平方后，可重现由共形反常控制的应力张量三点函数⟨TTT⟩的贡献，从而建立起手征与共形反常结构之间的直接联系。
英文摘要：
We uncover a double-copy relation between chiral and conformal anomalies in four-dimensional conformal field theory. We show that this relation extends from local anomaly structures to complete momentum-space three-point correlators and, through their flat-space limits, to five-dimensional scattering amplitudes. In particular, the parity-odd current correlators associated with the chiral anomaly reduce, in the flat-space limit, to a universal amplitude generated by a Chern--Simons interaction. Squaring these anomalous current correlators reproduces the contribution to the stress-tensor three-point function $\langle TTT\rangle$, controlled by the conformal anomaly, thereby establishing a direct link between chiral- and conformal-anomaly structures.
