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SUMMARY:Vogel Universality in 2D Yang–Mills Theory
DTSTART;VALUE=DATE-TIME:20261028T074500Z
DTEND;VALUE=DATE-TIME:20261028T080000Z
DTSTAMP;VALUE=DATE-TIME:20261028T203923Z
UID:indico-contribution-6144@cern.ch
DESCRIPTION:Speakers: Mikhail Sharov (Institute for Nuclear Research of th
 e Russian Academy of Sciences)\nWe study adjoint Wilson loops in two-dimen
 sional Yang--Mills theory for classical\, exceptional\, and $\\mathfrak{os
 p}(1|2n)$ Lie (super)algebras. The Wilson loops are evaluated numerically 
 using the Migdal representation-sum formula and compared across different 
 Lie families within Vogel's parametrization. Our main goal is to investiga
 te whether this observable admits a universal description on Vogel's plane
 \, including its large-rank expansion. We find substantial agreement betwe
 en different series at leading order in the algebra rank and obtain a comm
 on Vogel-based continuation that gives a good description of many exceptio
 nal-group results. Moreover\, the subleading corrections for different ser
 ies can be jointly parametrized by functions of the Vogel parameters. Thes
 e results provide evidence for a nontrivial Vogel-universal structure of a
 djoint Wilson loops\, at least in the large-rank limit.\n\nhttps://indico.
 particle.mephi.ru/event/626/contributions/6144/
LOCATION: Conference Hall 3
URL:https://indico.particle.mephi.ru/event/626/contributions/6144/
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