2d dualities from 4d

TL;DR

This paper discovers new two-dimensional dualities by compactifying four-dimensional supersymmetric theories on a two-sphere, revealing novel relationships between different gauge theories with various supersymmetries.

Contribution

It introduces new dualities for 2d supersymmetric gauge theories derived from 4d theories via twisted compactification, including non-Abelian and gauge/Landau-Ginzburg dualities.

Findings

New $ abla$-dualities for $ abla=(2,2)$ and $ abla=(0,2)$ theories

Dualities for non-Abelian gauge theories in 2d

Identification of $ abla=(0,2)$ Gauge/Landau-Ginzburg duality

Abstract

We find new $\mathcal{N}=(2,2)$ and $\mathcal{N}=(0,2)$ dualities through the twisted compactifications of 4d supersymmetric theories on $S^2$. Our findings include dualities for both $\mathcal{N}=(2,2)$ and $\mathcal{N}=(0,2)$ non-Abelian gauge theories, as well as $\mathcal{N}=(0,2)$ Gauge/Landau-Ginzburg duality.