4D/3D reduction of dualities: mirrors on the circle

TL;DR

This paper develops a brane-based framework for reducing 4D Seiberg dualities to 3D, incorporating orientifold planes, T-duality, and affine Toda potentials to unify the understanding of dualities and confinement in lower dimensions.

Contribution

It introduces a novel brane construction that captures the reduction of dualities from 4D to 3D, including confining sectors via a double-scaling limit.

Findings

Effective 3D dualities derived on the circle using T-duality.

Geometrization of the non-perturbative superpotential as an affine Toda potential.

A unified mechanism for brane reduction of dualities and confinement.

Abstract

We engineer a brane picture for the reduction of Seiberg dualities from 4D to 3D, valid also in the presence of orientifold planes. We obtain effective 3D dualities on the circle by T-duality, geometrizing the non-perturbative superpotential which is an affine Toda potential. When reducing to pure 3D, we define a double-scaling limit which creates a confining sector, giving a unified mechanism for the brane reduction of dualities.