Quantum K-Theory of Calabi-Yau Manifolds

Hans Jockers; Peter Mayr

Quantum K-Theory of Calabi-Yau Manifolds

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arxiv 1905.03548 v2 pith:DLSGYSSZ submitted 2019-05-09 hep-th math.AG

Hans Jockers , Peter Mayr This is my paper · ORCID

classification hep-thmath.AG

keywords quantumk-theorymanifoldscalabi-yaugaugekahlercertaincomputed

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The disk partition function of certain 3d N=2 supersymmetric gauge theories computes a quantum K-theoretic ring for Kahler manifolds X. We study the 3d gauge theory/quantum K-theory correspondence for global and local Calabi-Yau manifolds with several Kahler moduli. We propose a multi-cover formula that relates the 3d BPS world-volume degeneracies computed by quantum K-theory to Gopakumar-Vafa invariants.

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Quantum K-theory levels in physics and math
hep-th 2025-06 conditional novelty 6.0 of 10

Chern-Simons levels and Ruan-Zhang levels are identified as the same twisting of quantum K-theory, with Coulomb branch equations matching difference operator symbols and geometric windows matching mirror triviality.

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