Feb 23 – 24, 2023
University of Turin - Department of Physics
Europe/Rome timezone

Tracy-Widom distribution in supersymmetric gauge theories

Feb 23, 2023, 2:30 PM
Aula C (University of Turin - Department of Physics)

Aula C

University of Turin - Department of Physics

Via Pietro Giuria 1, Torino


Gregory P. Korchemsky (Saclay, IPhT)


It was recently recognized that various observables in four-dimensional supersymmetric gauge theories can be computed for an arbitrary 't Hooft coupling as determinants of certain semi-infinite matrices. I will show that these quantities can be expressed as Fredholm determinants of the so-called Bessel kernel and they are closely related to celebrated Tracy-Widom distribution (more precisely, its finite temperature generalization) describing level-spacing distributions in matrix model.

Presentation materials