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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

BPS Indices, Modularity and Perturbations in Quantum K-theory

Hans Jockers , Peter Mayr , Urmi Ninad , Alexander Tabler This is my paper
classification hep-th math.AG
keywords k-theoryquantumgaugemodulartheoriestheorybehaviorbilateral
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 4 Pith papers

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    Schubert line defects in 3d GLSMs for partial flag manifolds reproduce parabolic Whitney polynomials for Schubert classes in quantum K-theory and yield new parabolic quantum Grothendieck polynomials.

  2. Schubert line defects in 3d GLSMs, part I: Complete flag manifolds and quantum Grothendieck polynomials

    hep-th 2025-12 unverdicted novelty 7.0

    Schubert line defects in 3d GLSMs for complete flag manifolds are realized as SQM quivers whose indices give quantum Grothendieck polynomials and restrict the target space to Schubert varieties.

  3. On the Schubert calculus of the quantum K-theory for partial flag manifolds: a 3d A-model perspective

    hep-th 2026-06 unverdicted novelty 6.0

    Computes 2- and 3-point functions of Schubert line defects in 3d A-model for partial flag manifolds Fl(k;n) to obtain K-theoretic Littlewood-Richardson coefficients, with small-beta limit recovering 2d quantum cohomology.

  4. Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries

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