Author: Eiko

Time: 2025-02-04 11:04:28 - 2025-02-04 11:04:28 (UTC)

Idea is to consider $3d$ $N=4$ quiver gauge theory.

Poincare groups gives super Poincare algebras

• Higgs branch: classical, no quantum correction, hyperkahler

• Coulomb branch: quantum, very difficult.

They are symplectic singularities

• $X$ is normal poisson,

• there exists $U\subset X$, .. cone

• there exists $\pi :\tilde{X}\to X$ such that ${\pi }^{\ast }\omega$ has no poles on $\tilde{X}$.

• $X$ is affine

• there exists a ${\mathbb{C}}^{\ast }$ action that contracts $X$ to a point.