8 papers
Elliptic -Hurwitz theory and Jack heat trace
Thibaut Lemoine
We study a deformation of the central heat trace on obtained by deforming Schur polynomials to Jack polynomials, and prove that it admits an asymptotic expansion to…
Universality of two-dimensional Markovian holonomy fields
Thibaut Lemoine, Elias Nohra
We prove a universality theorem for a broad class of two-dimensional gauge theories on compact surfaces. Each admissible conjugation-invariant Lévy process on a compact connected L…
The heat-kernel master field on at strong coupling
Thibaut Lemoine
We solve large- Yang--Mills theory on , for every , at strong coupling, for structure group and for the heat-kernel action. More precisely,…
Universal dualities for Wilson loops in lattice Yang-Mills
Thibaut Lemoine
We identify a universal finite- structure underlying Wilson loop expectations in lattice Yang--Mills, in any dimension , for gauge group , and for arbitr…
The central heat trace on large compact classical groups
Thibaut Lemoine, Mylène Maïda
We study the large- asymptotics of the central trace of the heat kernel on compact classical groups. For every classical family $G_N\subset \mathrm{GL}_N(\C)$, we prove a full l…
Two-dimensional Yang-Mills theory via integrable probability
Thibaut Lemoine
In this paper, we review the construction and large study of the continuous two-dimensional Yang--Mills theory with gauge group through probability, combinatori…