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Integrable Lattice Models From Gauge Theory

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arxiv 1611.00592 v1 pith:UJ23DV5X submitted 2016-11-02 hep-th cond-mat.stat-mechmath-phmath.MP

Edward Witten This is my paper
classification hep-thcond-mat.stat-mechmath-phmath.MP
keywords dimensionsgaugetheoryintegrablelatticemodelsquantumbeijing
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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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  1. Gauge Theory and Integrability: An Overview

    hep-th 2025-09 unverdicted novelty 2.0 of 10

    A review of the 4d Chern-Simons framework that derives integrable models and Yangian algebras from gauge theory.

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