The braneology of 3D dualities

TL;DR

This paper explores how four-dimensional Seiberg duality reduces to three dimensions using brane configurations, revealing new insights into dualities involving M2-branes and adjoint matter fields.

Contribution

It provides a brane-based derivation of 3D dualities from 4D Seiberg duality, addressing previous issues and extending to more general dualities.

Findings

Reproduces 3D dualities via T-duality and Euclidean D-strings.

Overcomes brane description issues in Aharony duality.

Extends methodology to toric duality and dualities with adjoint matter.

Abstract

In this paper we study the reduction of four-dimensional Seiberg duality to three dimensions from a brane perspective. We reproduce the non-perturbative dynamics of the three-dimensional field theory via a T-duality at finite radius and the action of Euclidean D-strings. In this way we also overcome certain issues regarding the brane description of Aharony duality. Moreover we apply our strategy to more general dualities, such as toric duality for M2-branes and dualities with adjoint matter fields.