Results 11 to 20 of about 307 (186)
Chevalley-Monk and Giambelli formulas for Peterson Varieties [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 A Peterson variety is a subvariety of the flag variety $G/B$ defined by certain linear conditions. Peterson varieties appear in the construction of the quantum cohomology of partial flag varieties and in applications to the Toda flows.
Elizabeth Drellich
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Quantum gravity and equivariant cohomology [PDF]
Nuclear Physics B, 1995 A procedure for obtaining correlation function densities and wavefunctionals for quantum gravity from the Donaldson polynomial invariants of topological quantum field theories, is given. We illustrate how our procedure may be applied to three and four dimensional quantum gravity.
Brooks, Roger, Lifschytz, Gilad
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Quantum Cohomology of Hypertoric Varieties [PDF]
Letters in Mathematical Physics, 2013 We give a complete description of the equivariant quantum cohomology ring of any smooth hypertoric variety, and find a mirror formula for the quantum differential equation.
McBreen, Michael Ben, Shenfeld, Daniel
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Journal of the European Mathematical Society, 2023 We establish a system of PDE, called open WDVV, that constrains the bulk-deformed superpotential and associated open Gromov–Witten invariants of a Lagrangian submanifold L \subset X with a bounding chain. Simultaneously, we define the quantum cohomology algebra of
Solomon, Jake P., Tukachinsky, Sara B.
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Journal of High Energy Physics, 2020 We study a correspondence between 3d N $$ \mathcal{N} $$ = 2 topologically twisted Chern-Simons-matter theories on S 1 × Σg and quantum K -theory of Grassmannians.
Kazushi Ueda, Yutaka Yoshida
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Quantum gravity from timelike Liouville theory
Journal of High Energy Physics, 2019 A proper definition of the path integral of quantum gravity has been a long- standing puzzle because the Weyl factor of the Euclidean metric has a wrong-sign kinetic term.
Teresa Bautista +2 more
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Schwinger-Keldysh formalism. Part II: thermal equivariant cohomology
Journal of High Energy Physics, 2017 Causally ordered correlation functions of local operators in near-thermal quantum systems computed using the Schwinger-Keldysh formalism obey a set of Ward identities.
Felix M. Haehl +2 more
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Wilson loop algebras and quantum K-theory for Grassmannians
Journal of High Energy Physics, 2020 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 ...
Hans Jockers +3 more
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An equivariant rim hook rule for quantum cohomology of Grassmannians [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 A driving question in (quantum) cohomology of flag varieties is to find non-recursive, positive combinatorial formulas for expressing the quantum product in a particularly nice basis, called the Schubert basis.
Elizabeth Beazley +2 more
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BCJ, worldsheet quantum algebra and KZ equations
Journal of High Energy Physics, 2020 We exploit the correspondence between twisted homology and quantum group to construct an algebra explanation of the open string kinematic numerator. In this setting the representation depends on string modes, and therefore the cohomology content of the ...
Chih-Hao Fu, Yihong Wang
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