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 language | English (US) |
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Pages (from-to) | 1819-1843 |
Number of pages | 25 |
Journal | Advances in Theoretical and Mathematical Physics |
Volume | 21 |
Issue number | 7 |
DOIs | |
State | Published - 2017 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- General Mathematics
- General Physics and Astronomy