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

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arxiv 2209.06802 v1 pith:KANQ6JWJ submitted 2022-09-14 hep-th

Nabamita Banerjee , Karan Fernandes , Arpita Mitra This is my paper · ORCID
classification hep-th
keywords softphotoncorrectedidentitytheoremwardclassicalderived
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 3 Pith papers

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