Superspin chains from superstring theory

We present a correspondence between two-dimensional N = (2, 2) supersymmetric gauge theories and rational integrable gl(m vertical bar j) spin chains with spin variables taking values in Verma modules. To explain this correspondence, we realize the gauge theories as configurations of branes in string theory and map them by dualities to brane configurations that realize line defects in four-dimensional Chern-Simons theory with gauge group GL(m vertical bar n). The latter configurations embed the superspin chains into superstring theory. We also provide a string theory derivation of a similar correspondence, proposed by Nekrasov, for rational gl(m vertical bar n) spin chains with spins valued in finite-dimensional representations.

Automated summary

This study presents a correspondence between two-dimensional N = (2, 2) supersymmetric gauge theories and rational integrable gl(m | j) spin chains, mapping them through brane configurations in string theory. It also provides a string theory derivation of a similar correspondence for rational gl(m | n) spin chains proposed by Nekrasov.