论文标题
软$ \ Mathcal {s} $ - 重力矩阵
The Soft $\mathcal{S}$-Matrix in Gravity
论文作者
论文摘要
重力$ \ MATHCAL {S} $ - 用红外（IR）截止定义的矩阵将其分解为硬和软因素。软因素是通用的，并包含所有IR和串联分歧。在这里，我们在动量空间的基础上表明，软因子的复杂表达由两个边界电流完全复制，这些边界流存在于天体球上。其中的第一个是超级倾斜电流，它会生成时空超译。第二个是其符合性伙伴，即自发损坏的超级译文的戈德斯通电流。当前的代数具有偏离分子水平的结构，涉及引力尖端异常尺寸和IR截止的对数。进一步表明，重力记忆效应被包含在软$ \ Mathcal {s} $ - 矩阵中可观察到的IR安全。
The gravitational $\mathcal{S}$-matrix defined with an infrared (IR) cutoff factorizes into hard and soft factors. The soft factor is universal and contains all the IR and collinear divergences. Here we show, in a momentum space basis, that the intricate expression for the soft factor is fully reproduced by two boundary currents, which live on the celestial sphere. The first of these is the supertranslation current, which generates spacetime supertranslations. The second is its symplectic partner, the Goldstone current for spontaneously broken supertranslations. The current algebra has an off-diagonal level structure involving the gravitational cusp anomalous dimension and the logarithm of the IR cutoff. It is further shown that the gravitational memory effect is contained as an IR safe observable within the soft $\mathcal{S}$-matrix.
