Seiberg duality for Chern-Simons quivers and D-brane mutations

TL;DR

This paper demonstrates how D2-brane perspectives lead to three-dimensional Seiberg dualities in Chern-Simons quivers, connecting brane mutations with known duality rules and providing explicit examples.

Contribution

It introduces a brane basis change approach to derive Seiberg dualities for Chern-Simons quivers with chiral matter, aligning with established rules and offering explicit dual examples.

Findings

Derivation of 3D Seiberg dualities from D2-brane viewpoint

Explicit dual pairs for Y^{p,q}(CP^2) geometries

Connection between brane mutations and known duality rules

Abstract

Chern-Simons quivers for M2-branes at Calabi-Yau singularities are best understood as the low energy theory of D2-branes on a dual type IIA background. We show how the D2-brane point of view naturally leads to three dimensional Seiberg dualities for Chern-Simons quivers with chiral matter content: They arise from a change of brane basis (or mutation), in complete analogy with the better known Seiberg dualities for D3-brane quivers. This perspective reproduces the known rules for Seiberg dualities in Chern-Simons-Yang-Mills theories with unitary gauge groups. We provide explicit examples of dual theories for the quiver dual to the Y^{p,q}(CP^2) geometries. We also comment on the string theory derivation of CS quivers dual to massive type IIA geometries.