Coulomb branches are realized as W-Hilbert schemes of hypertoric varieties, with hyperkähler metrics given by L2 metrics on moduli spaces of modified Nahm equations involving a new hyperspherical variety.
Teleman, ‘Coulomb branches for quaternionic representations’
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Hypertoric varieties, $W$-Hilbert schemes, and Coulomb branches
Coulomb branches are realized as W-Hilbert schemes of hypertoric varieties, with hyperkähler metrics given by L2 metrics on moduli spaces of modified Nahm equations involving a new hyperspherical variety.