Wilson loop algebras and quantum K-theory for Grassmannians
arXiv:1911.13286 · doi:10.1007/JHEP10(2020)036
Abstract
We study the algebra of Wilson line operators in three-dimensional N=2 supersymmetric U(M) gauge theories with a Higgs phase related to a complex Grassmannian Gr(M,N), and its connection to K-theoretic Gromov-Witten invariants for Gr(M,N). For different Chern-Simons levels, the Wilson loop algebra realizes either the quantum cohomology of Gr(M,N), isomorphic to the Verlinde algebra for U(M), or the quantum K-theoretic ring of Schubert structure sheaves studied by mathematicians, or closely related algebras.
arXiv comment20 pages
References in corpus (16)
- Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
- On Classification of N=2 Supersymmetric Theories, (e-mail uncorrupted version)
- Supersymmetric vacua and Bethe ansatz
- Quantization of Integrable Systems and Four Dimensional Gauge Theories
- The Omega Deformation, Branes, Integrability, and Liouville Theory
- Comments on 3d Seiberg-like dualities
- Holomorphic Blocks in Three Dimensions
- Comments on twisted indices in 3d supersymmetric gauge theories
- Aspects of 3d N=2 Chern-Simons-Matter Theories
- Walls, Lines, and Spectral Dualities in 3d Gauge Theories
- Dual Boundary Conditions in 3d SCFT's
- Fusion Residues
- Conifold Transitions and Mirror Symmetry for Calabi-Yau Complete Intersections in Grassmannians
- BPS/CFT correspondence IV: sigma models and defects in gauge theory
- tt* Geometry in 3 and 4 Dimensions
- Quantum K-theory of Grassmannians
Cited by in corpus (8)
- Twisted indices, Bethe ideals and 3d infrared dualities
- BPS Indices, Modularity and Perturbations in Quantum K-theory
- On the Witten index of 3d unitary SQCD with general CS levels
- Decomposition squared
- Quantum K theory of Grassmannians, Wilson line operators, and Schur bundles
- Quantum cohomology from mixed Higgs-Coulomb branches
- Schubert line defects in 3d GLSMs, part II: Partial flag manifolds and parabolic quantum polynomials
- Schubert line defects in 3d GLSMs, part I: Complete flag manifolds and quantum Grothendieck polynomials