A melonic quantum mechanical model without disorder
High Energy Physics - Theory
2026-01-15 v1 Strongly Correlated Electrons
Abstract
We consider a quantum mechanical model involving interacting fermions without disorder that has the same low energy physics as the supersymmetric SYK model. The model is invariant, and the supercharge involves the 3j symbol. We analyze various solvable corners, conceptually explain why it has a melonic expansion, and perform an exact diagonalization for small values of . Expanded around the states with maximal angular momentum, the model is approximated by a two dimensional CFT. The BPS states have a simple description in that regime.
Cite
@article{arxiv.2601.08908,
title = {A melonic quantum mechanical model without disorder},
author = {Anna Biggs and Loki L. Lin and Juan Maldacena},
journal= {arXiv preprint arXiv:2601.08908},
year = {2026}
}
Comments
45 pages, 17 figures, 1 ancillary file. Ancillary file contains the spectrum of the j=11 model