Asymptotic Four Point Functions

Abstract

We initiate the study of four-point functions of large BPS operators at any value of the coupling. We do it by casting it as a sum over exchange of superconformal primaries and computing the structure constants using integrability. Along the way, we incorporate the nested Bethe ansatz structure to the hexagon formalism for the three-point functions and obtain a compact formula for the asymptotic structure constant of a non-BPS operator in a higher rank sector.

18 pages + appendices, 13 figures, 2 tables, 1 Mathematica notebook attached; v2 minor typo corrections and references added

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Cited by in corpus (9)

• Scalar one-point functions and matrix product states of AdS/dCFT
• Structure constants at wrapping order
• Colour-dressed hexagon tessellations for correlation functions and non-planar corrections
• Determinant formula for the octagon form factor in $\mathcal{N}$=4 SYM
• Large $p$ explorations. From SUGRA to big STRINGS in Mellin space
• From the octagon to the SFT vertex - gluing and multiple wrapping
• Inner products in integrable Richardson-Gaudin models
• Norm of Bethe vectors in models with $\mathfrak{gl}(m|n)$ symmetry
• Introduction to Integrability and One-point Functions in $\mathcal{N}=4$ SYM and its Defect Cousin