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Flat-space limit of defect correlators and stringy AdS form factors
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abstract
We study AdS form factors, given by the Mellin representation for CFT correlators of local operators in the presence of extended defects. We propose a formula for taking (and expanding around) the flat-space limit. This formula relates the flat-space form factors for particles scattering off an extended object to the high-energy limit of the Mellin amplitude, via a Borel transform. We check the validity of our proposal in a number of examples. As an application, we study the two-point function of local operators in the presence of a 't Hooft loop in 4d $\mathcal{N}=4$ SYM, and compute the first few orders of stringy corrections to the AdS form factor of gravitons scattering off a D1 brane.
Forward citations
Cited by 4 Pith papers
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Extremal couplings, graviton exchange, and gluon scattering in AdS
Extremal bulk couplings between graviton and gluon modes are computed in F-theory AdS/CFT, yielding the graviton exchange term and a complete 1/N² correlator for the D4 theory.
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Notes on flat-space limit of holographic defect correlators in position space
A position-space flat-space limit formula for holographic defect two-point functions is derived, proven equivalent to the Mellin-space conjecture, and checked against Wilson loops, surface defects, and giant gravitons.
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Quantum Gravity Corrections to Giant Graviton Correlators
One-loop AdS supergravity correction to maximal giant graviton–supergraviton correlators is reconstructed in closed Mellin and position form via defect unitarity, including leading-twist anomalous dimensions.
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Chiral algebra correlators of the $6$d, $\mathcal{N}=(2,0)$ theory with a defect
A chiral-algebra bootstrap reproduces the defect two-point correlators of the 6d (2,0) theory using only bulk-channel data and predicts new defect-channel OPE coefficients.
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