Séminaire de Probabilités

Mixed Schur-Weyl duality and gauge/string duality in lattice Yang-Mills theory.

par Thibaut Lemoine (IRMA, Strasbourg)

Europe/Paris
Amphi Schwartz

Amphi Schwartz

Description

Lattice Yang-Mills is a discrete probabilistic model of random matrices on a graph aiming at describing the quantum Yang-Mills theory in particle physics. Gauge/string duality is a principle that states that the observables of Yang-Mills theory can be described in terms of random surfaces. In this talk, I will present a general gauge/string duality for the gauge group U(N) based on the Weingarten calculus developed by Collins and Sniady, and recently refined by Magee-Puder, Dahlqvist, and myself, based on the Schur-Weyl duality for rational representations of U(N).