Abstract
We study the algebra of Wilson line operators in three-dimensional \( \mathcal{N} \) = 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.
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Jockers, H., Mayr, P., Ninad, U. et al. Wilson loop algebras and quantum K-theory for Grassmannians. J. High Energ. Phys. 2020, 36 (2020). https://doi.org/10.1007/JHEP10(2020)036
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DOI: https://doi.org/10.1007/JHEP10(2020)036