6 problems

Let an $\mathcal{N}=2$ superconformal field theory (SCFT) have rank equal to the complex dimension of its Coulomb branch. A rank-zero SCFT is therefore one without a Coulomb branch…

Monodromy Jordan-block conjecture. This condition should hold for the Coulomb branch solution of any $\mathcal{N}=2$ field theory.

A perturbative prepotential is the gauge-theory prepotential computed on the perturbative Coulomb branch. Perturbative-prepotential positivity conjecture. For every gauge theory wi…

Let a 5d gauge theory have a perturbative Coulomb branch, and call a point in it a positive-mass point when all perturbative particles and monopoles have positive masses there. Pos…

Consider a 5d gauge theory with an interacting CFT fixed point. Its perturbative Coulomb branch is the region described by perturbative gauge-theory variables, and non-perturbative…

Let $S=(\lambda,m,u_r)$ denote the deformation and expectation-value parameters of a four-dimensional $4d \mathcal{N}=2$ superconformal field theory, and let $X$ be a threefold sin…