论文标题
天体振幅为广告图表
Celestial Amplitudes as AdS-Witten Diagrams
论文作者
论文摘要
从时空翻译和有时缩放不变性产生的分歧，从四个维度上的天体和动量空间幅度都受到了困扰。在本文中，我们考虑了Yang-Mills理论的天体CFT的（线性化的）边缘变形，该理论保留了2D形式的不变性，但既破坏了时空翻译和尺度不变性，又涉及策划的大规模标量。由此产生的天体振幅是完全有限的（除了通常的柔软和共线差异外），并采用规范的CFT形式。此外，我们表明可以简单地根据广告$ _3 $ WITTEN的联系人图来重写，这些联系图评估为众所周知的$ d $ functions，从而在Flat和Ads全息图之间建立了直接连接。
Both celestial and momentum space amplitudes in four dimensions are beset by divergences resulting from spacetime translation and sometimes scale invariance. In this paper we consider a (linearized) marginal deformation of the celestial CFT for Yang-Mills theory which preserves 2D conformal invariance but breaks both spacetime translation and scale invariance and involves a chirally coupled massive scalar. The resulting celestial amplitudes are completely finite (apart from the usual soft and collinear divergences) and take the canonical CFT form. Moreover, we show they can be simply rewritten in terms of AdS$_3$-Witten contact diagrams which evaluate to the well-known $D$-functions, thereby forging a direct connection between flat and AdS holography.
