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CATEGORIES:Probability
SUMMARY:Schur-Weyl duality and large $N$ limit in 2d Yang-
Mills theory - Thierry Lévy (Sorbonne Université)
DTSTART;TZID=Europe/London:20220907T150000
DTEND;TZID=Europe/London:20220907T160000
UID:TALK178496AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/178496
DESCRIPTION:Wilson loops are the basic observables of Yang-Mil
ls theory\, and their expectation is rigorously de
fined on the Euclidean plane and on a compact Riem
annian surface. Focusing on the case where the str
ucture group is the unitary group $U(N)$\, I will
present a formula that computes any Wilson loop ex
pectation in almost purely combinatorial terms\, t
hanks to the dictionary between unitary and symmet
ric quantities provided by the Schur-Weyl duality.
This formula should be applicable to the computat
ion of the large $N$ limit of the Wilson loop expe
ctations\, also called the master field\, and of w
hich the existence on the sphere was proved by Ant
oine Dahlqvist and James Norris.
LOCATION:MR9\, Centre for Mathematical Sciences
CONTACT:Jason Miller
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