Wilson loop algebras and quantum K-theory for Grassmannians

Jockers, Hans; Mayr, Peter; Ninad, Urmi und Tabler, Alexander (2020): Wilson loop algebras and quantum K-theory for Grassmannians. In: Journal of High Energy Physics, Nr. 10, 36

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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 1029-8479
• Sprache: Englisch