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- Title
BPS indices, modularity and perturbations in quantum K-theory.
- Authors
Jockers, Hans; Mayr, Peter; Ninad, Urmi; Tabler, Alexander
- Abstract
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.
- Subjects
QUANTUM perturbations; K-theory; QUANTUM rings; SPHALERITE; TORSION; CONFORMAL field theory; YANG-Mills theory
- Publication
Journal of High Energy Physics, 2022, Vol 2022, Issue 2, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP02(2022)044