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

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.

Figures (57)

• Figure 1: 5-brane web for the $\#_{M,N}$ theory.
• Figure 2: (a) Gluing together 2 copies of $\text{USp}(2)+6\mathbf{F}$ by gauging a common $\mathfrak{so}(6)$ subalgebra of their global symmetry. (b) Gluing together 2 copies of $\text{SU}(2)+6\mathbf{F}$ by gauging a common $\mathfrak{su}(4)$ subalgebra of their global symmetry.
• Figure 3: A unitary web realization of the $\#_{3,N}$ theory. We depict here the web at the fixed point. Black dots represent 7-branes.
• Figure 4: An orientifold web for the $\text{K}_{N}^{1}$ theory and the maximal subdivision at the centre of the junction.
• Figure 5: A unitary web for the $\text{K}_{N}^{1}$ theory. The maximal subdivision leading to the magnetic quiver is indicated by use of colours.