What was already known
Callan–Coleman–Jackiw developed stress-tensor improvements preserving Poincaré generators. Luty–Polchinski–Rattazzi and Dymarsky et al. constrained four-dimensional scale-invariant theories through dilaton methods but left an off-shell local trace identity or improvement issue; Yonekura assumed crossing/analyticity for an inverse-wave-operator construction, and Sachs treated restricted metric-couplable Lagrangian theories (manuscript Section 1.2, pp. 4–5).
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
Resolves the local improvement and Ward-identity problem under an explicit operational set of QFT hypotheses, including membership of the improvement scalar in the original physical theory.
Limitations
The theorem assumes the stated spectrum, current, Ward, and bounded-net conditions. It gives local conformal Ward identities; global integration to a conformal action on the entire bounded net is a separate question.
Technical verification
Reported is the default when evidence for a higher level is insufficient. The OpenAI-authored manuscript reports and argues the result, but the reviewed sources do not document a completed check of the full assessed claim.
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, and prior-work review for non-notifying local inclusion.
Read this published revision