Constructs ħ-adic sheaves of vertex superalgebras on hypertoric varieties, proves the associated affine variety recovers the singular hypertoric one, establishes the 3d Higgs branch conjecture for abelian cases, and shows the algebras are fermionic simple-current extensions of prior even versions wi
Braden, Anthony M
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A 3D N=4 gauge theory is built via U(1) gauging whose Higgs branch matches a known symplectic singularity, with a proposed non-simply laced magnetic quiver mirror validated through standard 3D mirror symmetry tests.
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.
Conjectures that quantum Coulomb branch algebras of 3D N=4 unitary quiver gauge theories equal truncated shifted quiver Yangians Y(ˆQ, ˆW), verified explicitly for tree-type quivers via monopole actions on 1/2-BPS vortices.
Introductory article presenting a mathematical definition of Coulomb branches of 3d N=4 SUSY gauge theories and geometric Satake correspondences for Kac-Moody Lie algebras based on those branches.
citing papers explorer
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Vertex Superalgebras for Hypertoric Varieties and 3d Abelian Gauge Theories
Constructs ħ-adic sheaves of vertex superalgebras on hypertoric varieties, proves the associated affine variety recovers the singular hypertoric one, establishes the 3d Higgs branch conjecture for abelian cases, and shows the algebras are fermionic simple-current extensions of prior even versions wi
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A Tale of Two Orbits: Non-Simply Laced Mirror
A 3D N=4 gauge theory is built via U(1) gauging whose Higgs branch matches a known symplectic singularity, with a proposed non-simply laced magnetic quiver mirror validated through standard 3D mirror symmetry tests.
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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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Quiver Yangians as Coulomb branch algebras
Conjectures that quantum Coulomb branch algebras of 3D N=4 unitary quiver gauge theories equal truncated shifted quiver Yangians Y(ˆQ, ˆW), verified explicitly for tree-type quivers via monopole actions on 1/2-BPS vortices.
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A mathematical definition of Coulomb branches of supersymmetric gauge theories and geometric Satake correspondences for Kac-Moody Lie algebras
Introductory article presenting a mathematical definition of Coulomb branches of 3d N=4 SUSY gauge theories and geometric Satake correspondences for Kac-Moody Lie algebras based on those branches.