K stability and stability of chiral ring
High Energy Physics - Theory
2016-07-01 v1 Differential Geometry
Abstract
We define a notion of stability for chiral ring of four dimensional N=1 theory by introducing test chiral rings and generalized a maximization. We conjecture that a chiral ring is the chiral ring of a superconformal field theory if and only if it is stable. We then study N=1 field theory derived from D3 branes probing a three-fold singularity X, and show that the K stability which implies the existence of Ricci-flat conic metric on X is equivalent to the stability of chiral ring of the corresponding field theory.
Cite
@article{arxiv.1606.09260,
title = {K stability and stability of chiral ring},
author = {Tristan C. Collins and Dan Xie and Shing-Tung Yau},
journal= {arXiv preprint arXiv:1606.09260},
year = {2016}
}
Comments
22 pages, 4 figures