Abstract
We describe a procedure for classifying \( \mathcal{N} = 2 \) superconformal theories of the type introduced by Davide Gaiotto. Any curve, C, on which the 6D A N−1 SCFT is compactified, can be decomposed into 3-punctured spheres, connected by cylinders. We classify the spheres, and the cylinders that connect them. The classification is carried out explicitly, up through N = 5, and for several families of SCFTs for arbitrary N. These lead to a wealth of new S-dualities between Lagrangian and non-Lagrangian \( \mathcal{N} = 2 \) SCFTs.
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ArXiv ePrint:1008.5203
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Chacaltana, O., Distler, J. Tinkertoys for Gaiotto duality. J. High Energ. Phys. 2010, 99 (2010). https://doi.org/10.1007/JHEP11(2010)099
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DOI: https://doi.org/10.1007/JHEP11(2010)099