论文标题

$ 1/l^2 $从CFT $ _3 $ WARD身份校正的软光子定理

$1/L^2$ corrected soft photon theorem from a CFT$_3$ Ward identity

论文作者

Banerjee, Nabamita, Fernandes, Karan, Mitra, Arpita

论文摘要

经典的软定理应用于广告上的探针散射过程$ _4 $ spaceTimes预测,$ 1/l^2 $校正的软光子和渐近平面空间的软吸引因子的存在。在本文中,我们确定$ 1/l^2 $更正的软光子定理可以源自大型$ n $ cft $ _3 $ ward Identity。在边界CFT电流的集成表达式上,我们在全局AD $ _4 $中的平坦时空贴片上得出了一个扰动的软光子模式运算符。在CFT $ _3 $ WARD身份中,我们恢复了$ 1/l^2 $校正的软光子定理的$ 1/l^2 $。

Classical soft theorems applied to probe scattering processes on AdS$_4$ spacetimes predict the existence of $1/L^2$ corrections to the soft photon and soft graviton factors of asymptotically flat spacetimes. In this paper, we establish that the $1/L^2$ corrected soft photon theorem can be derived from a large $N$ CFT$_3$ Ward identity. We derive a perturbed soft photon mode operator on a flat spacetime patch in global AdS$_4$ in terms of an integrated expression of the boundary CFT current. Using the same in the CFT$_3$ Ward identity, we recover the $1/L^2$ corrected soft photon theorem derived from classical soft theorems.

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