Quantum Spectral Curve and Structure Constants in N=4 SYM: Cusps in the Ladder Limit

Understand

We find a massive simplification in the non-perturbative expression for the structure constant of Wilson lines with 3 cusps when expressed in terms of the key Quantum Spectral Curve quantities, namely Q-functions.

• Our calculation is done for the configuration of 3 cusps lying in the same plane with arbitrary angles in the ladders limit.
• This provides strong evidence that the Quantum Spectral Curve is not only a highly efficient tool for finding the anomalous dimensions but also encodes correlation functions with all wrapping corrections taken into account to all orders in the `t Hooft coupling.
• We also show how to study the insertions of scalars coupled to the Wilson lines and extend our results for the spectrum and the structure constants to this case.