Five-brane webs, Higgs branches and unitary/orthosymplectic magnetic quivers

TL;DR

This paper explores the Higgs branches of 5d superconformal theories from brane webs with orientifold planes, proposing new rules for magnetic quivers that include novel features and validating them through Hilbert series computations.

Contribution

It introduces a generalized method for deriving magnetic quivers from brane webs with orientifold planes, including new matter representations and gauge structures.

Findings

Magnetic quivers include hypermultiplets in fundamental-fundamental representations.

The proposed rules successfully reproduce Coulomb and Higgs branch Hilbert series.

Results are consistent across different brane web configurations.

Abstract

We study the Higgs branch of 5d superconformal theories engineered from brane webs with orientifold five-planes. We propose a generalization of the rules to derive magnetic quivers from brane webs pioneered in arXiv:2004.04082, by analyzing theories that can be described with a brane web with and without O5 planes. Our proposed magnetic quivers include novel features, such as hypermultiplets transforming in the fundamental-fundamental representation of two gauge nodes, antisymmetric matter, and $\mathbb{Z}_2$ gauge nodes. We test our results by computing the Coulomb and Higgs branch Hilbert series of the magnetic quivers obtained from the two distinct constructions and find agreement in all cases.