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Integrable Lattice Models From Gauge Theory

High Energy Physics - Theory 2016-11-03 v1 Statistical Mechanics Mathematical Physics math.MP

Abstract

These notes provide an introduction to recent work by Kevin Costello in which integrable lattice models of classical statistical mechanics in two dimensions are understood in terms of quantum gauge theory in four dimensions. This construction will be compared to the more familiar relationship between quantum knot invariants in three dimensions and Chern-Simons gauge theory. (Based on a Whittaker Colloquium at the University of Edinburgh and a lecture at Strings 2016 in Beijing.)

Keywords

Cite

@article{arxiv.1611.00592,
  title  = {Integrable Lattice Models From Gauge Theory},
  author = {Edward Witten},
  journal= {arXiv preprint arXiv:1611.00592},
  year   = {2016}
}

Comments

20 pp

R2 v1 2026-06-22T16:39:42.363Z