Magnetic quivers for rank 2 theories

Abstract

In this note we construct magnetic quivers for the known rank-2 four dimensional $$ \mathcal{N} $$ N = 2 superconformal field theories. For every rank-1 theory one can find a unitary magnetic quiver; we observe that this is no longer possible at rank 2. Our list of magnetic quivers necessarily includes orthosymplectic quivers, in addition to unitary ones, of both the simply and non simply laced variety. Using quiver subtraction, one can compute Higgs branch Hasse diagrams and compare with the results obtained via other methods finding nearly perfect agreement.

Coulomb and Higgs Branches from Canonical Singularities, Part 1: Hypersurfaces with Smooth Calabi-Yau Resolutions

“…The MQ associated to a 5d SCFT is a 3d N = 4 theory whose Coulomb branch is isomorphic to the Higgs branch of the 5d SCFT. Magnetic quivers have been a very powerful tool to explore the moduli spaces of superconformal theories with 8 supercharges, with most approaches based on brane-webs [12][13][14][15][16][17][18][19][20][21][22][23][24]. From a geometric perspective, the magnetic quivers were studied e.g.…”

Testing our understanding of SCFTs: a catalogue of rank-2 $\mathcal{N}$=2 theories in four dimensions

“…Perhaps the discretely gauged realization which we identified on the CB side will provide interesting insights allowing to resolve this puzzle. We will further investigate this question elsewhere [116] Th. 34…”

The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories

“…70 They can be computed from the brane construction of the theory [274][275][276][277][278][279][280][281] or from its geometric engineering [49,201,225,246,282,283], and can be used to obtain information about the Higgs branch of the theory, such as its symmetries, the stratification of the symplectic singularity, etc. [281,[284][285][286][287][288][289][290].…”