$(0,4)$ dualities

Abstract

We study a class of two-dimensional $\mathcal{N}=(0,4)$ quiver gauge theories that flow to superconformal field theories. We find dualities for the superconformal field theories similar to the 4d $\mathcal{N}=2$ theories of class $\mathcal{S}$, labelled by a Riemann surface $\mathcal{C}$. The dual descriptions arise from various pair-of-pants decompositions, that involves an analog of the $T_N$ theory. Especially, we find the superconformal index of such theories can be written in terms of a topological field theory on $\mathcal{C}$. We interpret this class of SCFTs as the ones coming from compactifying 6d $\mathcal{N}=(2,0)$ theory on ${\mathbb{CP}}^1\times \mathcal{C}$

41 pages, 12 figures

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