The sphere partition function of 3d N=4 Chern-Simons-matter theories is conjectured to equal a sum of twisted traces on Verma modules over the quantization of their moduli spaces of vacua, extending prior work and revealing new Abelian dualities.
Bellamy,Coulomb branches have symplectic singularities,Lett
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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.
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Twisted traces and quantization of moduli stacks of 3d $\mathcal{N}=4$ Chern-Simons-matter theories
The sphere partition function of 3d N=4 Chern-Simons-matter theories is conjectured to equal a sum of twisted traces on Verma modules over the quantization of their moduli spaces of vacua, extending prior work and revealing new Abelian dualities.
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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.