ADE string chains and mirror symmetry

Babak Haghighat Wenbin Yan Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43625

Journal of High Energy Physics, 2018, (1), 43, 2018.1
A bstract 6d superconformal field theories (SCFTs) are the SCFTs in the highest possible dimension. They can be geometrically engineered in F-theory by compactifying on non-compact elliptic Calabi-Yau manifolds. In this paper we focus on the class of SCFTs whose base geometry is determined by 2 curves intersecting according to ADE Dynkin diagrams and derive the corresponding mirror Calabi-Yau manifold. The mirror geometry is uniquely determined in terms of the mirror curve which has also an interpretation in terms of the Seiberg-Witten curve of the four-dimensional theory arising from torus compactification. Adding the affine node of the ADE quiver to the base geometry, we connect to recent results on SYZ mirror symmetry for the A case and provide a physical interpretation in terms of little string theory. Our results, however, go beyond this case as our construction naturally covers the D and E cases as
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  title={ADE string chains and mirror symmetry},
  author={Babak Haghighat, Wenbin Yan, and Shing-Tung Yau},
  booktitle={Journal of High Energy Physics},
Babak Haghighat, Wenbin Yan, and Shing-Tung Yau. ADE string chains and mirror symmetry. 2018. Vol. 2018. In Journal of High Energy Physics. pp.43.
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