SLEkappa — model index
Schramm-Loewner Evolution SLE_κ (random planar conformally-invariant curve) at parameter κ > 0. Default κ = 6 is the percolation cluster-boundary fixed point — the original Schramm prediction that launched the field.
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 SLEkappa. 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 | see file-header description above |
| Observable | per src/core/quantities.jl (matches the dispatch tag) |
| Reference | docs/src/conventions.md (project-wide convention policy) |
| STATUS | backfilled by PR (audit gate); per-field domain content |
Coverage
| Level | Count |
|---|---|
| 🟣 universality-corroborated | 0 |
| 🟢 corroborated-at-p | 2 |
| 🔵 coherent | 0 |
| ⚪ cited-only | 0 |
| 🟠 uncorroborated-but-feasible | 0 |
| total claimed hubs | 2 |
Methods (from @register, derived): analytic
Quantity × BC matrix
| Quantity | Infinite |
|---|---|
CentralCharge | 🟢 hub |
FractalDimension | 🟢 hub |
References
Papers cited by this model's @register cards. The full numbered list is on the Reference List.
- [156]
- M. Bauer and D. Bernard. 2D growth processes: SLE and Loewner chains. Physics Reports 432, 115–221 (2006).
- [118]
- V. Beffara. The dimension of the SLE curves. The Annals of Probability 36 (2008).
- [151]
- J. Cardy. SLE for theoretical physicists. Annals of Physics 318, 81–118 (2005).
- [117]
- O. Schramm. Scaling limits of loop-erased random walks and uniform spanning trees. Israel Journal of Mathematics 118, 221–288 (2000).