Contributor info: Prof. Konstantin Zarembo

Edoardo Vescovi, Konstantin Zarembo

SciPost Phys. 17, 017 (2024) · published 18 July 2024 | Toggle abstract · pdf

We derive the loop equation for the 1-matrix model with generic difference-type measure for eigenvalues and develop a recursive algebraic framework for solving it to an arbitrary order in the coupling constant in and beyond the planar approximation. The planar limit is solved exactly for a one-parametric family of models and in the general case at strong coupling. The Wilson loop in the $\mathcal{N}=2^*$ super-Yang-Mills theory and the Hoppe model are used to illustrate our methods.