Dualities from dualities in 2d $\mathcal{N}=(0,2)$

TL;DR

This paper introduces new dualities in 2d $ obreak ext{N}=(0,2)$ gauge theories, connecting SU(N) models with matter to Landau-Ginzburg theories, derived from higher-dimensional dualities and tensor deconfinement mechanisms.

Contribution

It establishes novel 2d $ obreak ext{N}=(0,2)$ dualities using topological twisting and tensor deconfinement, expanding the understanding of dualities in lower-dimensional supersymmetric theories.

Findings

Derived dualities from 4d s-confining theories via topological twisting.

Connected SU(N) gauge theories to LG models through tensor deconfinement.

Validated dualities through multiple consistency checks.

Abstract

We propose 2d $\mathcal{N}=(0,2)$ dualities between SU(N) gauge theories with fundamental and antisymmetric chiral matter and Landau-Ginzburg theories with chiral and Fermi multiplets. Many of these dualities can be derived by topologically twisting 4d s-confining gauge theories on a two-sphere, with integer non-negative $R$ charges. We provide various checks of the dualities, showing that they descend from more "basic" dualities, similarly to analogous derivations in higher dimensions. The proof are based on the fact that the antisymmetric tensors can be traded with USp(2n) gauge theories with fundamental chirals, mimicking the higher dimensional mechanism known as tensor deconfinement. The quivers obtained in this way can be shown to be dual to LG models after applying other elementary "basic" dualities.