Abstract

We construct a large class of Argyres-Douglas type theories by compactifying six dimensional (2, 0) A N − 1 theory on a Riemann surface with irregular singularities. We give a complete classification for the choices of Riemann surface and the singularities. The Seiberg-Witten curve and scaling dimensions of the operator spectrum are worked out. Three dimensional mirror theory and the central charges a, c are also calculated for some subsets, etc. Our results greatly enlarge the landscape of $ \mathcal{N}=2 $ superconformal field theory and in fact also include previous theories constructed using regular singularity on the sphere.

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