BPS Indices, Modularity and Perturbations in Quantum K-theory
High Energy Physics - Theory
2022-02-23 v2 Algebraic Geometry
Abstract
We study a perturbation family of 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.
Keywords
Cite
@article{arxiv.2106.07670,
title = {BPS Indices, Modularity and Perturbations in Quantum K-theory},
author = {Hans Jockers and Peter Mayr and Urmi Ninad and Alexander Tabler},
journal= {arXiv preprint arXiv:2106.07670},
year = {2022}
}
Comments
71 pages, v2:references added