BPS INDICES, MODULARITY AND PERTURBATIONS IN QUANTUM K-THEORY

BPS indices, modularity and perturbations in quantum K-theory

BPS indices, modularity and perturbations in quantum K-theory

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Abstract We study a perturbation family of N $$ mathcal{N} synovex one grass $$ = 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 jolie designs engagement rings the IR regime are computed by determining the UV-IR map in the presence of deformations.

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