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🟢 LiouvilleCFT/CentralCharge/Infinite

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.

Assurance level: corroborated-at-p

Independently corroborated. See the cards below.

src claim

  • method analytic, status exact, reliability high, refs: Polyakov1981
  • c = 1 + 6(b + 1/b)²; invariant under b↔1/b self-duality.

Corroboration

regimemechanismindependencerefsfile
@sweepsecond_closed_form🟢 structuralLiouville CFT: c = 1 + 6 (b + 1/b)² (c=25 at b=1)test/models/classical/test_liouville_cft.jl
@sweepsecond_closed_form🟢 structuralLiouville CFT: c = 1 + 6 (b + 1/b)² (c=25 at b=1)test/models/classical/test_liouville_cft.jl
@sweepsecond_closed_form🟢 structuralLiouville CFT: c = 1 + 6 (b + 1/b)² (c=25 at b=1)test/models/classical/test_liouville_cft.jl
@sweepsecond_closed_form🟢 structuralLiouville b <-> 1/b duality: c(2) = c(1/2)test/models/classical/test_liouville_cft.jl

Test calls

The exact verify(...) call the harness executed for this hub (reconstructed from the test AST):

verify(LiouvilleCFT(; 0.5 = 0.5), CentralCharge(), Infinite(); route = :second_closed_form, independent = 1 + 6 * (0.5 + 1 / 0.5) ^ 2, agree_within = 1.0e-9, refs = ["Liouville CFT: c = 1 + 6 (b + 1/b)² (c=25 at b=1)"])
verify(LiouvilleCFT(; 1.0 = 1.0), CentralCharge(), Infinite(); route = :second_closed_form, independent = 1 + 6 * (1.0 + 1 / 1.0) ^ 2, agree_within = 1.0e-9, refs = ["Liouville CFT: c = 1 + 6 (b + 1/b)² (c=25 at b=1)"])
verify(LiouvilleCFT(; 1.7 = 1.7), CentralCharge(), Infinite(); route = :second_closed_form, independent = 1 + 6 * (1.7 + 1 / 1.7) ^ 2, agree_within = 1.0e-9, refs = ["Liouville CFT: c = 1 + 6 (b + 1/b)² (c=25 at b=1)"])
verify(LiouvilleCFT(; b = 2.0), CentralCharge(), Infinite(); route = :second_closed_form, independent = 1 + 6 * (0.5 + 1 / 0.5) ^ 2, agree_within = 1.0e-9, refs = ["Liouville b <-> 1/b duality: c(2) = c(1/2)"])

Assurance (provisional)

  • level: corroborated-at-p 🟢
  • cards: 4 · model ED-feasible
  • RES not wired — measured residuals / confidence are not shown yet.

← Model: LiouvilleCFT · Quantity: CentralCharge · Atlas index