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K stability and stability of chiral ring

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arxiv 1606.09260 v1 pith:VBCFUZF7 submitted 2016-06-29 hep-th math.DG

Tristan C. Collins , Dan Xie , Shing-Tung Yau This is my paper · ORCID
classification hep-thmath.DG
keywords chiralringstabilitytheoryfieldbranesconicconjecture
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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.

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Cited by 1 Pith paper

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  1. On holographic duals of certain isolated weighted Gorenstein cDV singularities

    hep-th 2024-12 reject novelty 5.0 of 10

    The paper claims, via mirror symmetry and a quiver search, that none of a listed set of cE6 and cE7 singularities admit crepant resolutions and hence lack N=1 quiver SCFT duals.

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