Abstract
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 well.
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ArXiv ePrint: 1705.05199
Primary affiliation: Yau Mathematical Sciences Center, Tsinghua University, Beijing, China. (Wenbin Yan)
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Haghighat, B., Yan, W. & Yau, ST. ADE string chains and mirror symmetry. J. High Energ. Phys. 2018, 43 (2018). https://doi.org/10.1007/JHEP01(2018)043
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DOI: https://doi.org/10.1007/JHEP01(2018)043