8 problems

DE-type correspondence conjecture. The one-to-one correspondence between the 6d SCFTs of orbi-instanton types and $\mathrm{Hom}(\Gamma,E_8)$ for the A-type discrete subgroups of…

Double affine Grassmannian conjecture. These hierarchies of mixed Higgs-tensor branch RG flows can be understood as semi-infinite periodic Hasse diagrams of the double affine Grass…

Dual Coxeter number conjecture. The coefficient $b_i$ is conjectured to equal minus the dual Coxeter number of the symmetry algebra supported on $\Sigma_i$:

For each positive integer $n$, let $G$ be the symmetry group of the corresponding $H_G^{(n)}$ theory, let $v$ and $x$ be fugacities, let $m_G$ denote the $G$-flavor fugacities, and…

Let $G$ be the global symmetry group of a rank-one $H_G$ theory, let $v$ and $m_G$ denote its fugacities, and let $Q_{\tau}$ be the elliptic-parameter fugacity. Write … Let…

A 5d superconformal field theory (SCFT) is a five-dimensional $mathcal N=1$ supersymmetric conformal field theory, and a 5d Kaluza–Klein theory is an $S^1$ reduction of a six-dimen…

Let $dP_9$ be the rational elliptic surface appearing in the construction, and consider the different graphs encoding the curves used to glue $\mathfrak{sp}(0)$ to a gauge algebra…

In the constructions under consideration, let $\tilde X_\mathfrak{T}$ denote the threefold arising from an F-theory configuration, and distinguish configurations using more singula…