AdS correction to the Faddeev-Kulish state: Migrating from the Flat Peninsula

Understand

The IR finiteness of $\mathcal{S}$-matrix in flat spacetime is tied to the Faddeev-Kulish dressed state, which suggests dressing the Fock space scattering state with the soft photon modes.

• We instigate a construction for the Faddeev-Kulish dressed state in the language of AdS/CFT.
• A salient feature of AdS spacetime is that it acquits itself as a quintessential IR regulator.
• The IR divergences will take shape after taking the zoomed in limit.