9 problems

Irreducible-representation melonic conjecture. Any irreducible tensor representation of $\mathrm{O}(N)$ or $\mathrm{Sp}(N)$ can support a melonic large $N$ limit.

Let $tilde{\alpha}$ denote the inverse temperature (inverse gauge coupling) and let $N$ be the matrix size, in the mass-deformed supersymmetric Yang–Mills matrix model with…

Strong-coupling closure conjecture. Closed conformal field theory is the exact solution to the strongly coupled large-$N_c$ limit of open conformal field theory.

Let $G_N$ be an increasing sequence of groups, and specialize to $G_N=SU(N)$. For sequences $U_{Nj}\to \sigma_j$ with $U_{Nj}\in SU(N)$ and limiting eigenvalue probability measures…

Let $\Sigma_g$ be a compact surface of genus $g\geq 0$, with structure group ${\mathrm{SU}}(N)$. Consider its Yang–Mills partition function and Wilson loop expectations. Gross–Tayl…

Consider the large-$N$ limit of matrix models, including matrix models with bosonic degrees of freedom. In the model discussed in the source, a growing operator has a restricted le…

For the matrix Chern–Simons model with bosonic rank parameter $p$ and fermionic rank parameter $q$, let $\widehat{\mathfrak{su}}(p|q)$ denote the affine Lie superalgebra current al…

Let $T_{abc}$ be a real rank-$3$ symmetric traceless tensor, with coupling constant $g$, and consider its tetrahedral quartic model with a single $O(N)$ symmetry group. The large-…

Large-$N$ spectral representation conjecture. The correlator should be a sum of an infinite number of free-field propagators,