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arXiv · 2209.06802

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

Nabamita Banerjee·Karan Fernandes·Arpita Mitra
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Abstract

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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Nabamita Banerjee, Karan Fernandes, Arpita Mitra. 2022-09-14. $1/L^2$ corrected soft photon theorem from a CFT$_3$ Ward identity. https://doi.org/10.1007/jhep04(2023)055

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