학술논문
Wilson loop algebras and quantum K-theory for Grassmannians
Document Type
article
Author
Source
Journal of High Energy Physics, Vol 2020, Iss 10, Pp 1-20 (2020)
Subject
Language
English
ISSN
1029-8479
Abstract
Abstract We study the algebra of Wilson line operators in three-dimensional N $$ \mathcal{N} $$ = 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.