Scattering from (p, q)-strings in AdS5 × S5

A bstract Motivated by understanding the scattering of gravitons and their superpartners from extended ( p , q )-strings in type IIB string theory via AdS/CFT, we study an integrated two-point function of stress tensor multiplet operators in the presence of a half-BPS line defect in $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 SU( N ) super-Yang-Mills theory. We determine this integrated correlator at the five lowest non-trivial orders in $$ 1/\sqrt{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:msqrt> <mml:mi>N</mml:mi> </mml:msqrt> </mml:math> at fixed Yang-Mills coupling and θ angle. Our calculations are performed explicitly when the line defect is a Wilson line, in which case we find a finite number of perturbative contributions at each order in $$ 1/\sqrt{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mn>1</mml:mn> <mml:mo>/</mml:mo> <mml:msqrt> <mml:mi>N</mml:mi> </mml:msqrt> </mml:math> , as well as instanton contributions. Using SL(2, ℤ ) transformations, our results can also be applied to Wilson-’t Hooft line defects dual to extended ( p , q )-strings in the bulk. We analyze features of these integrated correlators in the weak coupling expansion by comparing with open-closed amplitudes of type IIB string theory on AdS 5 × S 5 , as well as in its flat space limit. We predict new higher-derivative interaction vertices on the D1-brane and, more generally, on ( p , q )-strings.