Relating Integrable Spin Chains to Gauge Theories via String Theory

I will discuss some applications of brane constructions of rational integrable spin chains with Verma modules. These spin chains appear in various gauge theories. They can be created in 4d Chern-Simons theories with line operators, mapped to massive vacua of certain 2d N=(2,2) gauge theories using Bethe/Gauge correspondences, described in terms of vortices and monopole operators in 3d N=4 theories etc. I will argue that all these descriptions of the spin chains can be seen as different perspectives of the same string theory setups.