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arXiv · 1008.5203

Tinkertoys for Gaiotto Duality

Oscar Chacaltana·Jacques Distler
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Abstract

We describe a procedure for classifying 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 N=2 SCFTs.

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Oscar Chacaltana, Jacques Distler. 2010-08-31. Tinkertoys for Gaiotto Duality. https://doi.org/10.1007/jhep11(2010)099

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