Quantum Spectral Curve at Work: From Small Spin to Strong Coupling in N=4 SYM

Understand

We apply the recently proposed quantum spectral curve technique to the study of twist operators in planar N=4 SYM theory.

• We focus on the small spin expansion of anomalous dimensions in the sl(2) sector and compute its first two orders exactly for any value of the 't Hooft coupling.
• At leading order in the spin S we reproduced Basso's slope function.
• The next term of order S^2 structurally resembles the Beisert-Eden-Staudacher dressing phase and takes into account wrapping contributions.