Author:
Jockers Hans,Mayr Peter,Ninad Urmi,Tabler Alexander
Abstract
Abstract
We study a perturbation family of $$ \mathcal{N} $$
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.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
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