5 problems

Compact TCS $G_2$ duality conjecture. The following theories are equivalent:

Transverse-distance conjecture. The transverse distance between the D3-brane probe and the $E_n$ 7-branes is proportional to $\operatorname{vol}(V_2)$ in the local Calabi–Yau three…

Let an $n$-dimensional toric Gorenstein singularity be associated with a polytope $\Delta_{n-1}$, either reflexive or non-reflexive. Let $Y$ be the associated Sasaki–Einstein base…

Let $\mathcal{T}$ be a four-dimensional $N=2$ superconformal field theory, let $\Phi(\mathcal{T})$ be its associated vertex algebra, and let $Higgs_{\mathcal{T}}$ denote its Higgs…

Let $\mathcal{R}$ be a chiral ring equipped with a polarization $\zeta$, so that $({\mathcal{R}},\zeta)$ is a polarized chiral ring. A polarized chiral ring is stable if it has no…