Tinkertoys for Gaiotto Duality

Details Tinkertoys for Gaiotto Duality Tinkertoys for Gaiotto Duality

2010-08-31

arxiv.org/abs/1008.5203v2

JHEP 1011:099,2010

Physics

High Energy Physics

High Energy Physics - Theory

61 pages, 136 figures (a veritable comic book). V2: Grotty bitmapped figures replaced with PDF versions; a couple of reference

Scientific paper

10.1007/JHEP11(2010)099

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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