What was already known
Carpi, Kawahigashi, Longo and Weiner constructed nets for strongly local unitary vertex operator algebras and proved locality for several model classes. Automatic strong locality for the full strongly rational unitary class remained conjectural.
AI involvement
OpenAI credits itself as manuscript author and states that its internal frontier model produced the results in this release. Individual human input is not detailed enough to establish task-only autonomy.
OpenAI is named as author on the manuscript, and its release attributes the results to an internal frontier model. The individual human input is not detailed enough to establish autonomy.
Importance
Establishes the analytic construction of a conformal net for every algebra in this class.
Limitations
The Lean scope matches this first construction step. It does not check complete rationality, unitarizability of all modules, braided equivalence or extension classification in the manuscript.
Technical verification
OpenAI reports a Lean proof matching the selected claim.
Formal checking
The pinned Lean note states polynomial energy bounds, CKLW strong locality and construction of an irreducible conformal net for the stated class.
- Checker
- OpenAI-reported Lean 4 / Comparator
- Scope
- Every simple unitary strongly rational complex vertex operator algebra has polynomial energy bounds and CKLW strong locality; its smeared fields generate an irreducible conformal net.
- Basis
- Reported by the linked checker
Checking a formal statement does not establish that it matches the original problem.
Human understanding
Few is the default when evidence for a higher level is insufficient. No named person is documented as explaining the central argument for this assessed contribution.
Correction and publication history
Primary manuscript, attribution, prior-work, and scoped checking review for non-notifying local inclusion.
Read this published revision