Magnetic quivers from brane webs with O7$^+$-planes

TL;DR

This paper develops a method to derive magnetic quivers from brane web constructions with O7$^+$-planes, enabling the study of Higgs branches of 5d fixed points through Coulomb branch Hilbert series calculations.

Contribution

It introduces a set of rules to extract magnetic quivers from brane webs with O7$^+$-planes, including non-simply-laced quivers with unitary and special unitary nodes, and verifies their Coulomb branch Hilbert series.

Findings

Magnetic quivers can be derived from brane webs with O7$^+$-planes.

The Coulomb branch Hilbert series of these quivers can be computed.

Alternative magnetic quivers match in Hilbert series, confirming consistency.

Abstract

We consider the Higgs branch of 5d fixed points engineered using brane webs with an O7$^+$-plane. We use the brane construction to propose a set of rules to extract the corresponding magnetic quivers. Such magnetic quivers are generically framed non-simply-laced quivers containing unitary as well as special unitary gauge nodes. We compute the Coulomb branch Hilbert series of the proposed magnetic quivers. In some specific cases, an alternative magnetic quiver can be obtained either using an ordinary brane web or a brane web with an O5-plane. In these cases, we find a match at the level of the Hilbert series.