$(0, 4)$ dualities

TL;DR

This paper explores dualities in two-dimensional ${ m N}=(0,4)$ quiver gauge theories, revealing their relation to 4d ${ m N}=2$ theories of class ${ m S}$ and expressing their superconformal index via topological field theory.

Contribution

It introduces a new class of dualities for 2d ${ m N}=(0,4)$ SCFTs, connecting them to 4d theories and topological field theories, with novel insights into their indices.

Findings

Superconformal indices expressed as topological field theories on ${ m C}$

Dualities arising from pair-of-pants decompositions involving an analog of $T_N$ theory

Connection of these SCFTs to compactification of 6d ${ m N}=(2,0)$ theory on $ ext{CP}^1 imes { m C}$

Abstract

We study a class of two-dimensional ${\cal N}=(0, 4)$ quiver gauge theories that flow to superconformal field theories. We find dualities for the superconformal field theories similar to the 4d ${\cal N}=2$ theories of class ${\cal S}$, labelled by a Riemann surface ${\cal C}$. 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 ${\cal C}$. We interpret this class of SCFTs as the ones coming from compactifying 6d ${\cal N}=(2, 0)$ theory on $\mathbb{CP}^1 \times {\cal C}$