Multipoint correlators on the supersymmetric Wilson line defect CFT. Part II. Unprotected operators

We continue our study of multipoint correlators of scalar fields on the 1 d defect CFT generated by inserting operators along the Maldacena-Wilson line in N = 4 SYM. We present a weak-coupling recursion relation that captures correlators at next-to-leading order involving an arbitrary number of the elementary scalar fields phi(i) and phi(6), the latter being unprotected. We can then build correlators of composite operators by pinching the scalar fields together. As a demonstration of our method, we give explicit results for correlators containing up to six points. We also expand some selected correlators using recently obtained conformal blocks in the comb and snowflake channel, and check that the extracted low-lying CFT data is consistent with explicit computations.

Automated summary

The study focuses on multipoint correlators of scalar fields on the 1 d defect CFT, with a weak-coupling recursion relation introduced to capture correlators at next-to-leading order. Composite operator correlators can be built by pinching scalar fields together. Results for correlators containing up to six points are provided, along with an expansion using conformal blocks and verification of extracted CFT data.