Atlas — by universality class

Provisional v2 view — RES not wired

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.

Which concrete models realize each universality class (RG fixed point), and the regime where they do — the @realizes backend register, queryable with realized_by(class) / realizations(model).

Heisenberg (3)

  • HaldaneShastry — ground state of the 1/r² inverse-square chain; SU(2)_1 WZW, c = 1
  • Heisenberg1D — isotropic AFM point; SU(2)_1 WZW, c = 1
  • XXZ1D — isotropic point Δ = 1; SU(2)_1 WZW, c = 1

Ising (6)

  • IsingSquare — 2D classical Ising at T_c; 2D Ising universality, c = 1/2
  • IsingTriangular — ferromagnetic triangular-lattice Ising at T_c; 2D Ising universality, c = 1/2
  • Kitaev1D — critical line |μ| = 2|t|; (1+1)D Ising CFT, c = 1/2
  • TFIM — quantum critical point h = J; (1+1)D Ising CFT, c = 1/2
  • ZnClock — n = 2 clock model; 2D classical Ising CFT, c = 1/2
  • ZnParafermion — n = 2 parafermions; (1+1)D Ising CFT, c = 1/2

IsingSDRG (1)

  • TFIM — strong-disorder limit / infinite-randomness fixed point (IRFP) under random bond/field couplings

KPZ (1)

  • TASEP — current fluctuations of the 1D exclusion process; KPZ universality

LeeYang (1)

  • YangLee — Lee-Yang edge singularity; non-unitary minimal model M(5, 2), c = -22/5

MeanField (1)

  • CurieWeissIsing — complete-graph (infinite-range) Ising; mean-field critical exponents

Potts3 (2)

  • ZnClock — n = 3 clock model; 3-state Potts CFT, c = 4/5
  • ZnParafermion — n = 3 parafermions; 3-state Potts CFT, c = 4/5

Potts4 (1)

  • ZnParafermion — n = 4 parafermions; compact free boson (c = 1)

TricriticalIsing (1)

  • TricriticalIsing — tricritical point of vacancy-extended Ising; M(5, 4) minimal model, c = 7/10

TricriticalPotts3 (1)

  • TricriticalPotts3 — dilute q = 3 Potts model at criticality; M(6, 7) minimal model, c = 6/7

XY (4)

  • DimerLattice — close-packed dimer model; height representation is a c = 1 compact free boson (XY class)
  • SSH — critical line |v| = |w|; (1+1)D free Dirac fermion / XY class, c = 1
  • SixVertex — disordered phase |Δ| < 1; compact free boson (Luttinger liquid / XY class), c = 1
  • XXZ1D — critical line -1 < Δ < 1; Luttinger liquid (free boson), c = 1

← back to the Atlas index