Flat-space limit of defect correlators and stringy AdS form factors

Kavli Affiliate: Xinan Zhou

| First 5 Authors: Luis F. Alday, Xinan Zhou, , ,

| Summary:

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.

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