# Disordered musings

## Melonic quantum mechanics

The idea is that Black hole physics emerges when the dual field theory can be understood by resumming just the melonic diagrams :

The point is that for these diagrams to dominate, *disorder* is not necessary, certain other non-trivial double scalings can also result in such quantum theories. Variety of such models have been explored authors of the following papers (and more within cited):
* https://arxiv.org/abs/1903.06633
* https://arxiv.org/abs/1707.03431

These models are richer than the SYK model, and has an interesting transition between HO (Harmonic Oscillator) like phase and the SYK phase :

The claim of Ferrari (see this talk: https://youtu.be/Oz8feB1w-sg ) is that these double scalings are related to large D limit which comes up in context of near BH geometries. In any case these are interesting models involving sometimes bosonic degrees of freedom as well as Hermitian matrices. One of the first papers in this direction is also the following single authored paper:

* https://arxiv.org/abs/1701.01171

## SYK Spectrum

The $h=2$ conformal scalar plays an important role in the SYK theory (see https://arxiv.org/abs/1604.07818), however various $nAdS_2$ examples show presence of other non-universal sectors (more relevant than $h=2$) e.g., https://arxiv.org/abs/2110.04208
It maybe a good question to get clarity using bootstrap, for the SYK and the other similar models (with and without disorder).