Speaker: Joseph Kieninger (HU Berlin)

Title: Subleading trajectories in N=4 SYM

Abstract:
In this talk, I will discuss subleading Regge trajectories in N=4 SYM using the Quantum Spectral Curve (QSC). These trajectories can be categorized by their behavior close to the intercept, being either horizontal or diagonal (a novel feature not seen in leading trajectories). Understanding the spectrum of subleading trajectories is crucial for a systematic application of the QSC, which could be key to identifying the Odderon in N=4 SYM.
We find that applying the QSC to these novel trajectories involves modifying the behavior of certain functions, which affects both the analytical and numerical implementations. These modifications generalize to many subleading trajectories, distinguishing between horizontal and diagonal behavior close to the intercept.