SYK — model index
Sachdev-Ye-Kitaev model: N Majorana fermions with all-to-all random q-body coupling. The defining structural parameter for the universal large-N IR is q (which must be even — Majorana antisymmetry — and ≥ 2). The fermion number N and the coupling scale J set the UV / finite-N data but do not enter the leading large-N IR conformal dimension exposed here.
Generated by docs/atlas/generate.jl — a pure VIEW over the *_registry.jl claims + the static test/INVENTORY.jsonl AST scan. No test is executed and no src is run; test/INVENTORY.jsonl is regenerated in-place (idempotently) from that static scan; fetch/@register untouched. Assurance labels are PROVISIONAL: residuals / confidence are not shown yet (RES not wired). Badges reflect the committed test AST, not the latest CI run — a hub can read green while its @test is red between regenerations. @sweep = a graceful regime-resolution gap, not card omission.
All (Quantity, BC) hubs src claims for SYK. Cells link to the per-hub card; — = not yet implemented at that BC. The shape of the matrix is the gap visualisation: empty cells are where physics could be added next.
Convention
| Field | Value |
|---|---|
| Hamiltonian | Fermion bilinears c†c |
| Observable | Fermion (number n = c†c, bilinear ⟨c†i cj⟩); derived spin observables follow spin S = σ/2 |
| Reference | docs/src/conventions.md §Fermion convention |
Coverage
| Level | Count |
|---|---|
| 🟣 universality-corroborated | 0 |
| 🟢 corroborated-at-p | 1 |
| 🔵 coherent | 0 |
| ⚪ cited-only | 0 |
| 🟠 uncorroborated-but-feasible | 0 |
| total claimed hubs | 1 |
This model is in ED_INFEASIBLE_MODELS (true 2D / frontier). Its cited-only hubs are the published ceiling, not an actionable gap.
Methods (from @register, derived): analytic
Quantity × BC matrix
| Quantity | Infinite |
|---|---|
ConformalWeights | 🟢 hub |
References
Papers cited by this model's @register cards. The full numbered list is on the Reference List.
- [67]
- A. Kitaev. A simple model of quantum holography. KITP Program: Entanglement in Strongly-Correlated Quantum Matter (talks) (2015), http://online.kitp.ucsb.edu/online/entangled15/kitaev/.
- [68]
- J. Maldacena and D. Stanford. Remarks on the Sachdev-Ye-Kitaev model. Physical Review D 94 (2016).
- [69]
- S. Sachdev and J. Ye. Gapless spin-fluid ground state in a random quantum Heisenberg magnet. Physical Review Letters 70, 3339–3342 (1993).