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 |
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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.
Item Type: | Journal article |
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Faculties: | Physics |
Subjects: | 500 Science > 530 Physics |
ISSN: | 1029-8479 |
Language: | English |
ID Code: | 89173 |
Deposited On: | 25. Jan 2022 09:29 |
Last Modified: | 25. Jan 2022 09:29 |
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