Logo Logo
Switch Language to German
Jockers, Hans; Mayr, Peter; Ninad, Urmi; Tabler, Alexander (2020): Wilson loop algebras and quantum K-theory for Grassmannians. In: Journal of High Energy Physics, No. 10, 36
Full text not available from 'Open Access LMU'.


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.