# Gaiotto duality for the twisted A 2N −1 series

Journal of High Energy Physics, May 2015

We study 4D $$\mathcal{N}$$ = 2 superconformal theories that arise from the compactification of 6D $$\mathcal{N}$$ = (2, 0) theories of type A 2N −1 on a Riemann surface C, in the presence of punctures twisted by a ℤ2 outer automorphism. We describe how to do a complete classification of these SCFTs in terms of three-punctured spheres and cylinders, which we do explicitly for A 3, and provide tables of properties of twisted defects up through A 9. We find atypical degenerations of Riemann surfaces that do not lead to weakly-coupled gauge groups, but to a gauge coupling pinned at a point in the interior of moduli space. As applications, we study: i) 6D representations of 4D superconformal quivers in the shape of an affine/non-affine D n Dynkin diagram, ii) S-duality of SU(4) and Sp(2) gauge theories with various combinations of fundamental and antisymmetric matter, and iii) realizations of all rank-one SCFTs predicted by Argyres and Wittig.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1007%2FJHEP05%282015%29075.pdf

Oscar Chacaltana, Jacques Distler, Yuji Tachikawa. Gaiotto duality for the twisted A 2N −1 series, Journal of High Energy Physics, 2015, 75, DOI: 10.1007/JHEP05(2015)075