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SUMMARY:Schur-Weyl duality and large $N$ limit in 2d Yang-Mills theory - T
 hierry Lévy (Sorbonne Université)
DTSTART:20220907T140000Z
DTEND:20220907T150000Z
UID:TALK178496@talks.cam.ac.uk
CONTACT:Jason Miller
DESCRIPTION: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 gro
 up is the unitary group $U(N)$\, I will present a formula that computes an
 y Wilson loop expectation in almost purely combinatorial terms\, thanks to
  the dictionary between unitary and symmetric quantities provided by the S
 chur-Weyl duality. This formula should be applicable to the computation of
  the large $N$ limit of the Wilson loop expectations\, also called the mas
 ter field\, and of which the existence on the sphere was proved by Antoine
  Dahlqvist and James Norris.
LOCATION:MR9\, Centre for Mathematical Sciences
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