Quantum K theory of symplectic Grassmannians

TL;DR

This paper explores the quantum K theory rings of symplectic Grassmannians through physical derivations, introducing new bases involving shifted Wilson lines and lambda_y classes, enhancing the understanding of their structure.

Contribution

It presents a novel physical derivation of quantum K theory rings for symplectic Grassmannians and proposes new bases motivated by physics, extending to ordinary Grassmannians.

Findings

New bases involving shifted Wilson lines and lambda_y classes for symplectic Grassmannians.

Comparison with standard Schubert cycle presentations.

Extension of methods to ordinary 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 lambda_y classes, which are motivated by and amenable to physics, and which we also provide for ordinary Grassmannians.