论文标题
天体阳米尔斯振幅和d = 4个共形块
Celestial Yang-Mills Amplitudes and D=4 Conformal Blocks
论文作者
论文摘要
我们讨论了最近构建的“单价”天体四振振幅的特性。我们表明，振幅将其分配到“当前”部分和“标量”部分。当前因子由四个霍尔晶型电流的Wess-Zumino-witten相关器的群依赖部分给出，而Kač-Moody代数的非呈差异水平。标量因子可以用Koba-Nielsen形式的复杂积分来表示，类似于描述库仑气体模型中四点相关因子的积分，更一般而言，在Liouville理论的无限中心电荷极限中。标量部分也可以通过减少单个D = 4的共形块和从Minkowski空间到天体球的阴影块获得。
We discuss the properties of recently constructed "single-valued" celestial four-gluon amplitudes. We show that the amplitude factorizes into the "current" part and the "scalar" part. The current factor is given by the group-dependent part of the Wess-Zumino-Witten correlator of four holomorphic currents with a non-vanishing level of Kač-Moody algebra. The scalar factor can be expressed in terms of a complex integral of the Koba-Nielsen form, similar to the integrals describing four-point correlators in Coulomb gas models and, more generally, in the infinite central charge limit of Liouville theory. The scalar part can be also obtained by a dimensional reduction of a single D=4 conformal block and the shadow block from Minkowski space to the celestial sphere.
