What was already known
Earlier free-fermions-in-disguise examples had exponential homogeneous degeneracy; Pozsgay had sought a nondegenerate example.
AI involvement
ChatGPT 5.4/5.5 Pro found the candidate, cross-relations, boundary recipe and central proof after Pozsgay set the strategy. Pozsgay supplied the research direction, key conjectures, analytic checks and explanation.
The model supplied the retained candidate and central proof, while Pozsgay supplied several essential mathematical choices and the overall proof strategy.
Importance
The candidate removes a defining degeneracy of earlier exactly solvable examples in the stated generic-coupling setting.
Limitations
Pozsgay reports analytic checks of model computations and finite-size numerical diagonalization, not an explicit complete check of the central proof and full spectral argument.
Technical verification
The author reports analytic checks of AI computations and independent numerical diagonalization supporting the generic free-fermion spectrum. He does not explicitly document a completed rigorous check of every step of Theorem 5.1 and the full spectral argument.
Independent checking
analytic checking of model computations; independent numerical diagonalization is additional partial evidence, not a machine proof certificate
- Checker
- Balázs Pozsgay, author
- Scope
- AI-generated algebraic computations for the model, including commuting-structure calculations
- Basis
- Reported by the linked checker
Human understanding
Pozsgay's own supplement identifies his strategy and explains how reconstructing mode operators from Hamiltonians turns their cross-commutativity into the needed operator relations.
Correction and publication history
The candidate removes a defining degeneracy of earlier exactly solvable examples in the stated generic-coupling setting.
Read this published revision