5 problems

Large-$D$ scaling conjecture. The function satisfies

Let $G$ be a connected $4$-regular orientable embedded graph of genus $g$ with $v$ vertices and $\varphi$ straight-ahead cycles. Say that $G$ is 2PI when it does not contain any tw…

Let $\mathcal G$ be a connected vacuum Feynman graph, let $\alpha(\mathcal G)$ denote its large-$D$ exponent, and let $P_{\mathcal G}$ be the associated polynomial. Write…

Consider traceless Hermitian matrices $X_\mu$ with a general action of the type considered in the paper, and suppose the model includes a multi-orientable, or MST, interaction term…

In tensor models with tetrahedral interactions, chain-of-tadpoles graphs can produce arbitrarily high powers of $D$ and obstruct the large-$D$ limit. Klebanov–Tarnopolsky conjectur…