Higgs-Coulomb correspondence and Wall-Crossing in abelian GLSMs
Algebraic Geometry
2023-01-04 v1
Abstract
We compute I-functions and central charges for abelian GLSMs using virtual matrix factorizations of Favero and Kim. In the Calabi-Yau case we provide analytic continuation for the central charges by explicit integral formulas. The integrals in question are called hemisphere partition functions and we call the integral representation Higgs-Coulomb correspondence. We then use it to prove GIT stability wall-crossing for central charges.
Keywords
Cite
@article{arxiv.2301.01266,
title = {Higgs-Coulomb correspondence and Wall-Crossing in abelian GLSMs},
author = {Konstantin Aleshkin and Chiu-Chu Melissa Liu},
journal= {arXiv preprint arXiv:2301.01266},
year = {2023}
}