7 problems

Consider the Sachdev–Ye–Kitaev model of $N$ interacting Majorana fermions, with Majorana operators satisfying … Fast scrambling conjecture. The time required for an operator to "gr…

Let $b_n$ be the Lanczos coefficients for a chaotic local Hamiltonian in spatial dimension $d$, and let $b1$ and $b3$ denote constants. Operator Growth Hypothesis. The leading…

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…

The model under consideration is a fermionic matrix model, whereas canonical matrix models of string theory also contain bosonic degrees of freedom. The qualitative operator-growth…

Let $M_{s' s}$ be the matrix governing the relevant size-sector dynamics in the SYK model, and let its maximal eigenvector mean an eigenvector associated with the maximal eigenvalu…

Consider a broader class of non-random models with Hamiltonians $H_X$ that are strongly extensive. Extensivity equivalence conjecture. Theorem 4 should generalize to such models in…

Let $C_{ij}(t)$ denote the commutator quantity studied in the paper, and consider its expansion in powers of $1/N$. Resummability conjecture. The true $1/N$ expansion of…