论文标题
部分可观测时空混沌系统的无模型预测
Focusing bounds for CFT correlators and the S-matrix
论文作者
论文摘要
一般相对论的聚焦定理是因果关系，奇异定理，熵不平等等。在ADS/CFT中，我们表明，集中精力会导致对CFT $ n $ - 点功能的界限，通常比因果关系强。因果关系与边界上的平均无效能量条件（ANEC）有关，而聚焦与整体中的ANEC有关。通过将爱因斯坦方程转换为散装和边界灯光射线操作员之间的关系来得出结合。我们还讨论了专注于平面$ s $ -matrix的后果，该$ s $ -matrix满足了类似的不平等，并在有效的现场理论中对较高衍生的运营商的界限进行了新的界限。弦理论$ s $ -matrix和CFT相关器中的COFTER REGGE理论也满足了焦点界限，尽管在这些情况下，它不能源自标准的聚焦定理。
The focusing theorem in General Relativity underlies causality, singularity theorems, entropy inequalities, and more. In AdS/CFT, we show that focusing in the bulk leads to a bound on CFT $n$-point functions that is generally stronger than causality. Causality is related to the averaged null energy condition (ANEC) on the boundary, while focusing is related to the ANEC in the bulk. The bound is derived by translating the Einstein equations into a relation between bulk and boundary light-ray operators. We also discuss the consequences of focusing for the flat space $S$-matrix, which satisfies a similar inequality, and give a new derivation of bounds on higher derivative operators in effective field theories. The string theory $S$-matrix and CFT correlators in conformal Regge theory also satisfy the focusing bound, even though in these cases it cannot be derived from the standard focusing theorem.
