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arXiv · 1810.01970

Unification of integrability in supersymmetric gauge theories

Kevin Costello·Junya Yagi
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Abstract

A four-dimensional analog of Chern-Simons theory produces integrable lattice models from Wilson lines and surface operators. We show that this theory describes a quasi-topological sector of maximally supersymmetric Yang-Mills theory in six dimensions, topologically twisted and subjected to an \Omega-deformation. By realizing the six-dimensional theory in string theory and applying dualities, we unify various phenomena in which the eight-vertex model and the XYZ spin chain, as well as variants thereof, emerge from supersymmetric gauge theories.

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Kevin Costello, Junya Yagi. 2018-10-03. Unification of integrability in supersymmetric gauge theories. https://doi.org/10.4310/atmp.2020.v24.n8.a1

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