Tinkertoys for Gaiotto Duality
High Energy Physics - Theory
2010-11-26 v2
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.
Cite
@article{arxiv.1008.5203,
title = {Tinkertoys for Gaiotto Duality},
author = {Oscar Chacaltana and Jacques Distler},
journal= {arXiv preprint arXiv:1008.5203},
year = {2010}
}
Comments
61 pages, 136 figures (a veritable comic book). V2: Grotty bitmapped figures replaced with PDF versions; a couple of references fixed