Quantum K-Theory of Calabi-Yau Manifolds
High Energy Physics - Theory
2020-01-08 v2 Algebraic Geometry
Abstract
The disk partition function of certain 3d N=2 supersymmetric gauge theories computes a quantum K-theoretic ring for Kahler manifolds X. We study the 3d gauge theory/quantum K-theory correspondence for global and local Calabi-Yau manifolds with several Kahler moduli. We propose a multi-cover formula that relates the 3d BPS world-volume degeneracies computed by quantum K-theory to Gopakumar-Vafa invariants.
Keywords
Cite
@article{arxiv.1905.03548,
title = {Quantum K-Theory of Calabi-Yau Manifolds},
author = {Hans Jockers and Peter Mayr},
journal= {arXiv preprint arXiv:1905.03548},
year = {2020}
}
Comments
25p, v2: references added