A 2d (0,2) appetizer

TL;DR

This paper proposes a new duality for a specific 2d supersymmetric gauge theory, revealing a surprising connection to a well-known 4d theory through its chiral algebra, and explores its IR physics.

Contribution

It introduces a novel duality for 2d $ ext{SU}(2)$ SQCD with four flavors and identifies its chiral algebra as $ ext{so}(8)_{-2}$, linking it to 4d $ ext{N}=2$ theories.

Findings

Identifies the chiral algebra as $ ext{so}(8)_{-2}$

Proposes a duality for 2d $ ext{SU}(2)$ SQCD with 4 flavors

Connects 2d IR physics to 4d $ ext{N}=2$ gauge theories

Abstract

Searching for the simplest non-abelian 2d gauge theory with $\mathcal{N}=(0,2)$ supersymmetry and non-trivial IR physics, we propose a new duality for $SU(2)$ SQCD with $N_f = 4$ chiral flavors. The chiral algebra of this theory is found to be $\mathfrak{so}(8)_{-2}$, the same as in 4d $\mathcal{N}=2$ $SU(2)$ gauge theory with four hypermultiplets.