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

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.

$1 / L^{2}$ corrected soft photon theorem from a CFT $_{3}$ Ward identity

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$1 / L^{2}$ corrected soft photon theorem from a CFT $_{3}$ Ward identity

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1/L21/L2 corrected soft photon theorem from a CFT33​ Ward identity

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1/L21/L2 corrected soft photon theorem from a CFT33​ Ward identity

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$1 / L^{2}$ corrected soft photon theorem from a CFT $_{3}$ Ward identity

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$1 / L^{2}$ corrected soft photon theorem from a CFT $_{3}$ Ward identity

讲解博客

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