Bosonic quantum integrable systems and gauge theories

Abstract

In this paper we apply two-dimensional supersymmetric gauge theories to directly construct a new Bethe ansatz for the wavefunctions of the q-boson hopping model, and then derive the q-boson algebras from this ansatz.

19 pages, a contribution to the proceedings of GLSM@30; added references in version 2; V3 is a published version. We thank the anonymous referee for her/his comments that improved the presentation