A tale of two cones: the Higgs Branch of Sp(n) theories with 2n flavours

Abstract

The purpose of this short note is to highlight a particular phenomenon which concerns the Higgs branch of a certain family of 4d N = 2 theories with SO(2N) flavour symmetry. By studying the Higgs branch as an algebraic variety through Hilbert series techniques we find that it is not a single hyperkahler cone but rather the union of two cones with intersection a hyperkahler subvariety which we specify. This remarkable phenomenon is not only interesting per se but plays a crucial role in understanding the structure of all Higgs branches that are generated by mesons.

arXiv comment15 pages, 3 tables, 4 figures

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Cited by in corpus (12)

• The Higgs Mechanism -- Hasse Diagrams for Symplectic Singularities
• Magnetic quivers for rank 1 theories
• (5d RG-flow) Trees in the Tropical Rain Forest
• Branes and the Kraft-Procesi transition: classical case
• Connecting 5d Higgs Branches via Fayet-Iliopoulos Deformations
• Folding Orthosymplectic Quivers
• Factorised 3d $\mathcal{N}=4$ orthosymplectic quivers
• The moduli space of instantons on an ALE space from 3d $\mathcal{N}=4$ field theories
• Generalized Symmetries and Anomalies of 3d N=4 SCFTs
• Variations on S-fold CFTs
• Algebraic properties of the monopole formula
• HWG for Coulomb branch of $3d$ Sicilian theory mirrors