6 problems

Let $SU(3)_8$ denote the 5d $SU(3)$ gauge theory with Chern–Simons level $8$. An interacting UV fixed point is an interacting conformal fixed point governing the ultraviolet comple…

Let $\mathbb F_n$ be the Hirzebruch surface of degree $n$, and let $\mathbb F_0\cup\mathbb F_8$ denote the corresponding union of surfaces in the Calabi–Yau geometry. Let $SU(3)_7$…

Let $SU(3)_5$ denote the 5d $SU(3)$ gauge theory with Chern–Simons level $5$, and let $Sp(2)_\pi$ denote the pure $Sp(2)$ gauge theory with discrete theta angle $\pi$. $SU(3)_5$–…

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…