Journal of High Energy Physics (Apr 2023)

1/L 2 corrected soft photon theorem from a CFT3 Ward identity

  • Nabamita Banerjee,
  • Karan Fernandes,
  • Arpita Mitra

DOI
https://doi.org/10.1007/JHEP04(2023)055
Journal volume & issue
Vol. 2023, no. 4
pp. 1 – 29

Abstract

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Abstract Classical soft theorems applied to probe scattering processes on AdS4 spacetimes predict the existence of perturbative 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 CFT3 Ward identity. We derive a perturbed soft photon mode operator on a flat spacetime patch in global AdS4 in terms of an integrated expression of the boundary CFT current. Using the same in the CFT3 Ward identity, we recover the 1/L 2 corrected soft photon factor derived from classical soft theorems.

Keywords