Branes and integrable lattice models

Abstract

This is a brief review of my work on the correspondence between four-dimensional $\mathcal{N}=1$ supersymmetric field theories realized by brane tilings and two-dimensional integrable lattice models. I explain how to construct integrable lattice models from extended operators in partially topological quantum field theories, and elucidate the correspondence as an application of this construction.

16 pages. Invited review article for Modern Physics Letters A. v2: published version

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Cited by in corpus (6)

• 4-dimensional Chern-Simons theory and integrable field theories
• Surface defects and elliptic quantum groups
• Quantum line operators from Lax pairs
• Integrable lattice spin models from supersymmetric dualities
• Integrable 3D lattice model in M-theory
• A New Integrable Ising-type Model from 2d $\mathcal{N}$=(2,2) Dualities