Integrable lattice models from gauge theory

Edward Witten

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

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 quan-tum 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.).

Original languageEnglish (US)
Pages (from-to)1819-1843
Number of pages25
JournalAdvances in Theoretical and Mathematical Physics
Volume21
Issue number7
DOIs
StatePublished - 2017
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Physics and Astronomy(all)

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