Chaire Jean Morlet - Conference - Algebraic aspects of random matrices / Chaire Jean Morlet - Conference - Aspects algébriques des matrices aléatoires

Collection Chaire Jean Morlet - Conference - Algebraic aspects of random matrices / Chaire Jean Morlet - Conference - Aspects algébriques des matrices aléatoires

Organisateur(s) Bordenave, Charles ; Capitaine, Mireille ; Chhaibi, Reda ; Collins, Benoît ; Defosseux, Manon ; Demni, Nizar

Date(s) 07/10/2024 - 11/10/2024

URL associée https://conferences.cirm-math.fr/3052.html

00:00:00 / 00:00:00

1 5

A formula for Wilson loop expectations in 2d Yang–Mills theory

De Thierry Lévy

Wilson loops are the basic observables of Yang—Mills theory, and their expectation is rigorously defined on the Euclidean plane and on a compact Riemannian surface. Focusing on the case where the structure group is the unitary group, I will present a formula that computes any Wilson loop expectation in almost purely combinatorial terms, thanks to the dictionary between unitary and symmetric quantities provided by the Schur-Weyl duality.

Informations sur la vidéo

Date de captation 08/10/2024
Date de publication 04/11/2024
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs, Doctorants
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.20255303
Citer cette vidéo Lévy, Thierry (08/10/2024). A formula for Wilson loop expectations in 2d Yang–Mills theory. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20255303
URL https://dx.doi.org/10.24350/CIRM.V.20255303

Domaine(s)

Bibliographie

LÉVY, Thierry. Schur–Weyl duality and the heat kernel measure on the unitary group. Advances in Mathematics, 2008, vol. 218, no 2, p. 537-575. - https://doi.org/10.1016/j.aim.2008.01.006
LÉVY, Thierry. Two-dimensional quantum Yang–Mills theory and the Makeenko–Migdal equations. In : Frontiers in Analysis and Probability: In the Spirit of the Strasbourg-Zürich Meetings. Springer International Publishing, 2020. p. 275-325. - http://dx.doi.org/10.1007/978-3-030-56409-4_7
OKOUNKOV, Andrei et VERSHIK, Anatoly. A new approach to representation theory of symmetric groups. Selecta Mathematica, 1996, vol. 2, no 4, p. 581. - https://www.uwaterloo.ca/scholar/sites/ca.scholar/files/b2webste/files/vershik-okounkov.pdf
WITTEN, Edward. On quantum gauge theories in two dimensions. Communications in Mathematical Physics, 1991, vol. 141, no 1, p. 153-209. - http://dx.doi.org/10.1007/BF02100009

Codes MSC

Dernières questions liées sur MathOverflow

Pour poser une question, votre compte Carmin.tv doit être connecté à mathoverflow

Poser une question sur MathOverflow

Toutes les vidéos de la collection

49:04

publiée le 4 novembre 2024

A formula for Wilson loop expectations in 2d Yang–Mills theory

De Thierry Lévy

45:48

publiée le 4 novembre 2024

The Fuglede-Kadison determinant of matrix-valued semicircular elements and the noncommutative Edmonds' problem

De Tobias Mai

44:48

publiée le 4 novembre 2024

Large deviations for macroscopic observables of heavy-tailed matrices

De Alice Guionnet

38:36

publiée le 4 novembre 2024

Linear eigenvalue statistics of polynomials in a Wigner matrix and a diagonal deterministic matrix

De Sandrine Dallaporta

42:43

publiée le 4 novembre 2024

Strong asymptotic freeness of Haar unitaries in quasi-exponential dimensional representations

De Mikael de la Salle

Copyright Carmin.tv 2025

Donner son avis