论文标题
4D平空散射振幅 /$ CFT_3 $相关器信函重新审视
4D Flat-space scattering amplitude /$CFT_3$ correlator correspondence revisited
论文作者
论文摘要
在本文中，我们在CFT $ _3 $ _3 $ _3 $ _3 $三点相关函数与一般旋转无质量仪表场显式的3点幅度显式。我们这样做是通过采取动量空间CFT相关功能的平坦空间极限，并显示它们如何重现扁平空间振幅。然后，我们指出保守电流的3D CFT相关器中的独立结构数量与无质量高旋转场的4D平面太空协变点之间的不匹配。这与普遍期望的是，3D CFT相关器的计数和4D平面幅度应匹配。这种不匹配在纺纱螺旋变量中更为明显。我们还指出，在动量空间中，奇偶校验均匀的奇怪平面幅度之间有一个有趣的关系。该观察结果有助于我们构建一个新的动量空间CFT Strtucture，这是导致不匹配的。但是，我们应该提到的是，这种额外的CFT结构不能用保守的电流构建，因此可以计算保守电流的CFT相关性与无质量仪表场的平坦空间幅度持续存在的不匹配。 Spinor Helicity变量中的故事更为复杂，并进行了详细讨论。我们进一步评论了旋转螺旋变量中CFT相关函数与纺纱螺旋变量和光锥变量中的ADS幅度的连接。
In this paper, we make connection between CFT$_3$ three point correlation function of conserved currents and 4D three point amplitude of general spin massless gauge field explicit. We do so by taking flat space limit of momentum space CFT correlation function and show how they reproduce flat space amplitudes. We then point out a mismatch between number of independent structures in 3D CFT correlator of conserved currents and 4D flat space covariant vertex of massless higher spin fields. This is in contrast with general expectation that counting of 3d CFT correlator and 4d flat space amplitude should match. This mismatch is even more pronounced in spinor helicity variables. We also point out an interesting relation between parity even and parity odd flat space amplitude in momentum space. This observation helps us to construct a new momentum space CFT strtucture which accounts for the mismatch. However we should mention that this extra CFT structure can't be constructed out of conserved currents and hence counting mismatch between CFT correlation of conserved currents and flat space amplitude of massless gauge field persists. Story in spinor helicity variable is more complicated and is discussed in detail. We further comment on the connection of CFT correlation function in spinor helicity variables to AdS amplitudes in spinor helicity variables and light cone variables.
