Wilson loop algebras and quantum K-theory for Grassmannians
High Energy Physics - Theory
2020-10-28 v1 Algebraic Geometry
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.
Cite
@article{arxiv.1911.13286,
title = {Wilson loop algebras and quantum K-theory for Grassmannians},
author = {Hans Jockers and Peter Mayr and Urmi Ninad and Alexander Tabler},
journal= {arXiv preprint arXiv:1911.13286},
year = {2020}
}
Comments
20 pages