S-fold magnetic quivers

Abstract

Magnetic quivers and Hasse diagrams for Higgs branches of rank r 4d $$ \mathcal{N} $$ N = 2 SCFTs arising from ℤℓ$$ \mathcal{S} $$ 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 $$ \mathcal{N} $$ 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 $$ \mathcal{N} $$ 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.

5d and 4d SCFTs: canonical singularities, trinions and S-dualities

“…Moreover, the 3d theories EQ (4) and MQ (5) , in that case, can be described by 3d quiver gauge theories with (special) unitary gauge groups. We can then fruitfully compare our results to complementary approaches that use magnetic quivers derived from brane webs [41,42,[45][46][47][48][49][50][51][52] or from the dual generalized toric polygons [30,35]. Note that our setup implicitly assumes that we obtain a well-defined 4d SCFT in the IR of D S 1 T 5d X , at the origin of the 4d CB; in particular, we assume the 5d Higgs branch consists of a single cone.…”

(5d RG-flow) trees in the tropical rain forest

“…The transition from one leaf to another (respecting the partial order) is described by the transverse slice between the two leaves, which again corresponds to a symplectic singularity. The Hasse diagram can be either obtained from the standard quiver subtraction [52,55,62], or by the method proposed in [1]. In our analysis we encounter magnetic quivers which correspond to non-simply-laced flavor symmetries, even though the quivers themselves may or may not be simply laced.…”

“…We now illustrate on examples how these quivers intervene in the process of the quiver subtraction algorithm [55,62] and allow to identify non-simply-laced symmetries in the Coulomb branch of simply laced quivers, even with no adjoint matter. The results agree with the conclusions of [78].…”

“…Let us turn to a more involved theory. Consider the strongly coupled SU(4) 0 + 2AS + 6F with magnetic quiver in [62] that subtracting two equivalent quivers leads to the two rebalancing nodes to be identified, together with the coupling to an adjoint. Thus, this subtraction leads precisely to the quiver in (6.1) and we deduce that the Hasse diagram is conjectured to be e…”

“…Where a 5-brane-web description of the SCFT is available [34][35][36][37][38][39][40][41][42][43][44][45][46][47][48], the Higgs branch can be characterized in terms of the associated magnetic quiver (MQ) and Hasse diagram [26,[49][50][51][52][53][54][55][56][57][58][59][60][61][62]. The magnetic quiver represents a 3d N = 4 quiver gauge theory, whose Coulomb branch is conjecturally identified with the Higgs branch of the 5d theory.…”