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SUMMARY:From Polygons to Instantons: A Journey through Gauge Theory
DTSTART:20261112T141500Z
DTEND:20261112T151500Z
DTSTAMP:20261107T083600Z
UID:indico-event-9890@indico.fysik.su.se
DESCRIPTION:Speakers: Nikita Nekrasov\n\nWhat can a flexible polygon teach
  us about quantum fields? I will begin with closed polygons in three-dimen
 sional space and their bending motions\, showing how their geometry emerge
 s from a two-dimensional gauge theory. Extending this construction leads t
 o polygons in geometries containing cosmic strings and beads\, and to gaug
 e theories on “origami” worldsheets.These elementary pictures open a p
 ath to many-body systems and gauge theories in higher dimensions. Passing 
 from two-dimensional Yang–Mills theory to three-dimensional Chern–Simo
 ns theory brings spherical geometry and braiding into the story. In four-d
 imensional supersymmetric gauge theories\, instanton partition functions c
 onnect to the same geometric structures: in a suitable limit\, their logar
 ithms become generating functions for distinguished Lagrangian subspaces o
 f classical phase spaces.The talk will combine familiar ideas with unpubli
 shed work\, emphasizing pictures\, examples\, and the connections between 
 dimensions. No specialist knowledge of gauge theory will be assumed.\n\nht
 tps://indico.fysik.su.se/event/9890/
URL:https://indico.fysik.su.se/event/9890/
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