Jun 3 – 7, 2024
SISSA
Europe/Rome timezone

Affine Gaudin Bethe Ansatz and the ODE/IM correspondence

Jun 3, 2024, 11:00 AM
50m
128 (SISSA)

128

SISSA

Via Bonomea 265, Trieste
Lecture

Speaker

Davide Masoero (Lisbon University)

Description

We consider the monodromy-free opers corresponding to solutions of the Affine Gaudin Bethe Ansatz equations.
We define and study the spectral determinants (called Q functions) for these opers. We conjecture that the Q-functions obtained from the Affine Gaudin Bethe Ansatz coincide with the Q-functions of the Bazhanov-Lukyanov-Zamolodchikov opers with the monster potential, which are related to the quantum KdV flows according to the ODE/IM correspondence. We give supporting evidence for this conjecture.

Primary author

Davide Masoero (Lisbon University)

Presentation materials