Quantum K theory of symplectic Grassmannians

Abstract

In this paper we discuss physical derivations of the quantum K theory rings of symplectic Grassmannians. We compare to standard presentations in terms of Schubert cycles, but most of our work revolves around a proposed description in terms of two other bases, involving shifted Wilson lines and λy classes, which are motivated by and amenable to physics, and which we also provide for ordinary Grassmannians.