Magnetic quivers for rank 2 theories

TL;DR

This paper constructs magnetic quivers for rank-2 4D N=2 superconformal theories, revealing the necessity of orthosymplectic quivers and enabling Higgs branch analysis with strong agreement to other methods.

Contribution

It introduces magnetic quivers for rank-2 theories, including orthosymplectic types, expanding beyond the unitary quivers possible at rank-1.

Findings

Magnetic quivers for all known rank-2 theories are constructed.

Orthosymplectic quivers are essential at rank 2, unlike at rank 1.

Higgs branch Hasse diagrams computed match other methods nearly perfectly.

Abstract

In this note we construct magnetic quivers for the known rank-2 four dimensional $\mathcal{N}=2$ superconformal field theories. For every rank-1 theory one can find a unitary magnetic quiver; we observe that this is no longer possible at rank 2. Our list of magnetic quivers necessarily includes orthosymplectic quivers, in addition to unitary ones, of both the simply and non-simply laced variety. Using quiver subtraction, one can compute Higgs branch Hasse diagrams and compare with the results obtained via other methods finding nearly perfect agreement.