Probing ABJM theories through Tracy-Widom formalism (Alessandro TESTA, Université Paris Saclay, CNRS)

24.04.2026 14:00

In this talk, we will present a unified Fermi-gas framework for computing BPS observables in ABJM theory on S^3. Supersymmetric localization reduces the problem to an interacting matrix model that can be interpreted as a one-dimensional ideal Fermi gas, whose dynamics is encoded in a set of functional relations and TBA-like equations. We will show that these equations enable a non-perturbative approach that systematically captures the instanton sectors of the free energy and winding Wilson loops. As applications, we will provide an analytic proof of several expressions previously obtained by complementary techniques and derive closed-form expressions, valid at arbitrary winding number, for the leading membrane- and worldsheet-instanton corrections to the 1/6- and 1/2-BPS Wilson loops.

Lieu

Conseil Général 7-9, Room 8-02, Séminaire Physique Mathématique

entrée libre