论文标题
关于天体领域的Sugawara构造
On Sugawara construction on Celestial Sphere
论文作者
论文摘要
共形性软纤维是天体形成性场理论（CCFT）的保守电流，并产生一个Kac-Moody代数。我们研究阳米尔斯理论的天体振幅，它们是gluon振幅的梅林变换，并采用了一对胶子的双重限制。通过这种方式，我们构建了CCFT的Sugawara Energy-Momentum张量。我们验证，在Sugawara Energy-Momentum Tensor下，共形柔软的玻色子是CCFT的Virasoro初选。 Sugawara张量并不能为硬状态产生正确的保形转换。在Einstein-Yang-Mills（EYM）理论中，我们考虑了能量量张量的替代构造，类似于将仪表理论振幅与重力相关的双复制结构。这种能量动量张量具有正确的特性，可为软状态和硬状态产生共形变换。我们将这种结构扩展到超级翻译。
Conformally soft gluons are conserved currents of the Celestial Conformal Field Theory (CCFT) and generate a Kac-Moody algebra. We study celestial amplitudes of Yang-Mills theory, which are Mellin transforms of gluon amplitudes and take the double soft limit of a pair of gluons. In this manner we construct the Sugawara energy-momentum tensor of the CCFT. We verify that conformally soft gauge bosons are Virasoro primaries of the CCFT under the Sugawara energy-momentum tensor. The Sugawara tensor though does not generate the correct conformal transformations for hard states. In Einstein-Yang- Mills (EYM) theory, we consider an alternative construction of the energy-momentum tensor, similar to the double copy construction which relates gauge theory amplitudes with gravity ones. This energy momentum tensor has the correct properties to generate conformal transformations for both soft and hard states. We extend this construction to supertranslations.
