Argyres-Douglas matter and N=2 dualities

Abstract

We study S duality of four dimensional N=2 Argyres-Douglas (AD) theory engineered from 6d A_{N-1} (2,0) theory. We find a (p,q) sequence of SCFTs, here (p,q) is co-prime and class S theory defined on sphere corresponds to class (0,1) theory. We represent these theories by a sphere with marked points, and S duality is interpreted as different pants decompositions of the same punctured sphere. The weakly coupled gauge theory description involves gauging AD matter which is represented by three punctured sphere.

38 pages, 24 figures

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• 4d N=2 SCFT and singularity theory Part III: Rigid singularity
• W algebra, Cosets and VOA for 4d N = 2 SCFT from M5 branes
• 3d mirror for Argyres-Douglas theories
• $\mathcal{N}=2$ SCFT with minimal flavor central charge
• Mixed Hodge structure and $\mathcal{N}=2$ Coulomb branch solution