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

LaTeX, 59 pages; v2: signs corrected, an even/odd distinction explained

References in corpus (3)

• Defects and Quantum Seiberg-Witten Geometry
• The Hirzebruch--Riemann--Roch theorem in true genus-0 quantum K-theory
• Topological Chern-Simons/Matter Theories

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• On the Witten index of 3d $\mathcal{N}=2$ unitary SQCD with general CS levels
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• Nonabelian mirrors and Gromov-Witten invariants
• Decomposition squared
• Quantum K theory of Grassmannians, Wilson line operators, and Schur bundles
• Closed $k$-Schur Katalan functions as $K$-homology Schubert representatives of the affine Grassmannian
• Quantum cohomology from mixed Higgs-Coulomb branches
• Schubert defects in Lagrangian Grassmannians
• A survey of recent developments in GLSMs
• Schubert line defects in 3d GLSMs, part II: Partial flag manifolds and parabolic quantum polynomials
• Quantum cohomology of symplectic flag manifolds
• Schubert line defects in 3d GLSMs, part I: Complete flag manifolds and quantum Grothendieck polynomials