Regge trajectories and bridges between them in ABJM theory from integrability

by Dr Andrea Cavaglià (University of Turin)

Monday 1 Jul 2024, 13:00 → 14:00 Europe/Berlin

The Quantum Spectral Curve (QSC) method is a powerful integrability tool to compute the spectrum in N=4 SYM and ABJM theory.

In the case of ABJM theory, this framework was so far limited to local operators. I will discuss how to adapt it to study the full Regge trajectories at continuous spin, and present some preliminary numerical results. Studying how to relax the spin quantization, I will show that there are not one - but two distinct possibilities to do that in the QSC formalism. These two choices lead to a discrete symmetry of the web of Regge trajectories which seems to have not been noticed before. The symmetry links points on leading and subleading trajectories at different twists, and is expected to be present also in N=4 SYM. Based on work in progress with Nicolò Brizio, Roberto Tateo and Valerio Tripodi.

Regge_DESY_2024_3.pdf