BPS indices, modularity and perturbations in quantum K-theory

BPS indices, modularity and perturbations in quantum K-theory

Blog Article

Abstract We study a perturbation family of N $$ mathcal{N} $$ = 2 3d gauge theories and its relation to quantum K-theory.A Pizza Cutter 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 Remy Human Hair Lace Wig 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.