Abstract We study a perturbation family of N $$ mathcal{N} $$ = click here 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 luau thank you cards 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.