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

References in corpus (7)

• Applications of the Superconformal Index for Protected Operators and q-Hypergeometric Identities to N=1 Dual Theories
• Dimer models and toric diagrams
• Brane Tilings
• Brane Tilings and Their Applications
• Supersymmetric gauge theory and the Yangian
• Quivers, YBE and 3-manifolds
• Transformations of elliptic hypergometric integrals

Cited by in corpus (1)

• A New Integrable Ising-type Model from 2d $\mathcal{N}$=(2,2) Dualities