Linear Sigma Models for the R8/Zk Orbifold

Abstract

We construct N=4 gauged linear sigma models in two dimensions whose Higgs branch has a R8/Zk orbifold singularity or its generalization. Our linear sigma models have either ALF or ALE type hyperKahler 8-manifolds as their Higgs branch. For the ALE case, the matter content of our model is specified by a quiver diagram which is a union of two A-type extended Dynkin diagrams overlapping at one link.

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