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Peer-reviewedCC BY 4.0Journal of High Energy Physics

A melonic quantum mechanical model without disorder

  • Anna Biggs1
  • Loki L. Lin2
  • Juan Maldacena3
  1. 1Princeton University
  2. 2University of Michigan
  3. 3Institute for Advanced Study
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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 SU(2) invariant, and the supercharge involves the SU(2) 3j symbol. We analyze various solvable corners, conceptually explain why it has a melonic expansion, and perform an exact diagonalization for small values of N. 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.

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Cite

BibTeXRIS
BibTeX
@article{biggs2026melonic,
  title = {{A melonic quantum mechanical model without disorder}},
  author = {Anna Biggs and Loki L. Lin and Juan Maldacena},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = nov,
  doi = {10.1007/jhep11(2026)021},
  url = {https://link.springer.com/article/10.1007/JHEP11(2026)021},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - A melonic quantum mechanical model without disorder
AU  - Anna Biggs
AU  - Loki L. Lin
AU  - Juan Maldacena
PY  - 2026
DA  - 2026/11/04
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep11(2026)021
UR  - https://link.springer.com/article/10.1007/JHEP11(2026)021
AB  - 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 SU(2) invariant, and the supercharge involves the SU(2) 3j symbol. We analyze various solvable corners, conceptually explain why it has a melonic expansion, and perform an exact diagonalization for small values of N. 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.
SN  - 1029-8479
ER  -