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BPS Indices, Modularity and Perturbations in Quantum K-theory

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arxiv 2106.07670 v2 pith:ZMKB6YKN submitted 2021-06-14 hep-th math.AG

Hans Jockers , Peter Mayr , Urmi Ninad , Alexander Tabler This is my paper · ORCID
classification hep-thmath.AG
keywords k-theoryquantumgaugemodulartheoriestheorybehaviorbilateral
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We study a perturbation family of N=2 3d gauge theories and its relation to quantum K-theory. A 3d version of the Intriligator-Vafa formula is given for the quantum K-theory ring of Grassmannians. The 3d BPS half-index of the gauge theory is connected to the theory of bilateral hypergeometric q-series, and to modular q-characters of a class of conformal field theories in a certain massless limit. Turning on 3d Wilson lines at torsion points leads to mock modular behavior. Perturbed correlators in the IR regime are computed by determining the UV-IR map in the presence of deformations.

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  1. 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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