Quiver subtraction on Higgs branch

by Chunhao Li (Imperial College London)

Wednesday 14 Aug 2024, 10:00 → 11:00 Asia/Shanghai

S408

For a 3d N=4 supersymmetric gauge theory, the Coulomb branch and Higgs branch are symplectic dual to each other. They admit a stratification into symplectic leaves. In this work, a subtraction algorithm to work out the stratification for Higgs branch of unitary quivers is introduced. All local singularities are classified. Related concepts like Namikawa Weyl groups and isometries of slices induced by paths on the leaves are determined in the subtraction. In some cases, residues of flavor fugacities in the Hilbert series will reveal the stratification.

Chunhao Li is a PhD student from Imperial College London, under the supervision of Amihay Hanany. He is interested in both mathematics and physics about 3d mirror symmetry and quivers. He got a Bachelor degree from USTC and then a master degree from Cambridge DAMTP Part iii.