BPS indices, modularity and perturbations in quantum K-theory
Abstract We study a perturbation family of N 05rb shades eq $$ mathcal{N} $$ = 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 t