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.)
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Univ Colorado, Dept Phys, Boulder, CO 80309 USAUniv Colorado, Dept Phys, Boulder, CO 80309 USA
DeGrand, Thomas
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Golterman, Maarten
Jay, William I.
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Univ Colorado, Dept Phys, Boulder, CO 80309 USAUniv Colorado, Dept Phys, Boulder, CO 80309 USA
Jay, William I.
Neil, Ethan T.
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Univ Colorado, Dept Phys, Boulder, CO 80309 USA
Brookhaven Natl Lab, RIKEN BNL Res Ctr, Upton, NY 11973 USAUniv Colorado, Dept Phys, Boulder, CO 80309 USA
Neil, Ethan T.
Shamir, Yigal
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Tel Aviv Univ, Raymond & Beverly Sackler Sch Phys & Astron, IL-69978 Tel Aviv, IsraelUniv Colorado, Dept Phys, Boulder, CO 80309 USA
Shamir, Yigal
Svetitsky, Benjamin
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Tel Aviv Univ, Raymond & Beverly Sackler Sch Phys & Astron, IL-69978 Tel Aviv, IsraelUniv Colorado, Dept Phys, Boulder, CO 80309 USA