New N = 2 dualities

TL;DR

The paper addresses constructing S-dual descriptions for $\mathcal{N}=2$ SCFTs with fractional Coulomb branch dimensions by exploiting decompositions of 3d mirrors of Argyres-Douglas theories. It extends Gaiotto-type dualities to AD matter, enabling gauging to produce weakly coupled gauge frames across infinite families of type III/IV theories with exact marginal deformations. The authors provide a systematic procedure to enumerate duality frames, verify by matching Coulomb branch data, and illustrate with concrete decompositions and isomorphisms between theories. This work deepens understanding of non-Lagrangian AD dynamics and supplies a practical toolkit for constructing new SCFTs with rich duality structures.

Abstract

We consider N = 2 superconformal field theory with following properties: a) Coulomb branch operators have fractional scaling dimensions, b) there are exact marginal deformations . The weakly coupled gauge theory descriptions are found by decomposing 3d mirror into different components, and different decompositions correspond to different duality frames. The gauge theory is formed by gauging Argyres-Douglas matter, and we write down all duality frames for several classes with infinite sequence of theories.

Figures (10)

• Figure 1: S duality of a SCFT defined by fourth punctured sphere is interpreted as different decompositions of its mirror.
• Figure 2: Here $Y=[3,3,2,2,1,1]$, and the boxes of Young Tableaux are labeled. The edge boxes are also indicated.
• Figure 3: Left: 3d mirror for one type of AD matter; Middle: 3d mirror for other AD matters. Right: The 3d mirror for $D_2(SU(2k+1))$ theory, with $k_{SU(2k+1)}=k+{1\over 2}$.
• Figure 4: 3d mirror for class A and class B theories.
• Figure 5: Decompositions of 3d mirror of class A theory and the corresponding gauge theory.