{"id":"06717b7c-1709-45c9-8af7-50d5cc03bc6c","arxiv_id":"2411.08008","paper_version":2,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":7.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":0,"one_line_summary":"VOA correlators with zero modes inserted are proven to be quasi-modular (zero modes only) or quasi-Jacobi (mixed with vertex operators) forms, and a class of heavy Heisenberg algebras is introduced whose correlators have homogeneous weight.","lead":"This paper proves that correlation functions of vertex operator algebras with extra zero mode insertions transform like quasi-modular and quasi-Jacobi forms, not ordinary modular forms. The result gives mathematicians and physicists a precise rule for how these richer observables behave under modular transformations, with applications to higher-spin holography and generalized Gibbs ensembles.","discovery_kind":"first_principles","skeptic_critique":null,"referee_report":null,"author_rebuttal":null,"desk_editor":null,"rs_alignment":null,"lean_confirmation":null,"pith_extraction":null,"created_at":"2026-08-12T22:02:04.491129+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":null,"supporting_citations":[],"review_version":1}