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.
Highlights
To a flurry of recent results [24,25,26,27] in computing the Coulomb branch Hilbert series of 3d N = 4 theories
We provide consistency checks by computing the HS of the proposed magnetic quivers and matching with the corresponding computation on OSp magnetic quivers derived from brane webs with O5-planes
In this paper we studied the Higgs branch of the UV fixed point limit of 5d N = 1 gauge theories with gauge group SO(N ) and matter in the vector representation
Summary
We recall some facts about the Hilbert series for the Coulomb branch of a. One can either treat one U(N ) gauge node as SU(N ) since the beginning, or one can treat it as U(N ) when computing the monopole dimension formula, and set to zero one of the magnetic charges of such U(N ) at the moment of computing the Hilbert Series. Let us consider a case in which the quiver itself is unitary and non- laced With this we mean that two nodes can be connected by n oriented lines. In the -laced case we could have decoupled the overall U(1) both by treating a U(N ) node as an SU(N ) when writing the monopole dimension formula, or at a later stage.
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