Abstract
Magnetic quivers and Hasse diagrams for Higgs branches of rank r 4d mathcal{N} = 2 SCFTs arising from ℤℓ mathcal{S} -fold constructions are discussed. The magnetic quivers are derived using three different methods: 1) Using clues like dimension, global symmetry, and the folding parameter ℓ to guess the magnetic quiver. 2) From 6d mathcal{N} = (1, 0) SCFTs as UV completions of 5d marginal theories, and specific FI deformations on their magnetic quiver, which is further folded by ℤℓ. 3) From T-duality of Type IIA brane systems of 6d mathcal{N} = (1, 0) SCFTs and explicit mass deformation of the resulting brane web followed by ℤℓ folding. A choice of the ungauging scheme, either on a long node or on a short node, yields two different moduli spaces related by an orbifold action, thus suggesting a larger set of SCFTs in four dimensions than previously expected.
Highlights
Branches were studied in detail [10,11,12,13,14,15], and their Higgs branches were recently studied through magnetic quivers in [16]
2) From 6d N = (1, 0) SCFTs as UV completions of 5d marginal theories, and specific FI deformations on their magnetic quiver, which is further folded by Z . 3) From T-duality of Type IIA brane systems of 6d N = (1, 0) SCFTs and explicit mass deformation of the resulting brane web followed by Z folding
Both SG(r,) and TG(r, ) theories can alternatively be defined in terms of twisted compactification of 6d N = (1, 0) theories [4]. We exploit this fact in the derivation of magnetic quivers below, so we review this in detail
Summary
The appendices contain several new results about quiver subtraction, derivation of magnetic quivers from brane webs and the Hilbert series for instantons on orbifolds. We adopt the following conventions throughout the paper:. For electric quivers (quivers representing gauge theories in 5d or 6d) the names of the groups are written in full (e.g. SU(n), USp(2n), etc.). For magnetic quivers, nodes are labeled by an integer n which represents a group U(n). All the non- laced quivers should be interpreted as having an ungauged U(1) on the long side
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