{"paper":{"title":"Unlocking the Wronskian Tower: A Simplification of the Holomorphic Modular Bootstrap","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP","math.NT","math.QA","math.RT"],"primary_cat":"hep-th","authors_text":"Arpit Das, Sunil Mukhi","submitted_at":"2026-07-20T18:00:00Z","abstract_excerpt":"Characters of rational conformal field theories solve modular linear differential equations labelled by their order and the Wronskian index $\\ell$. Direct classification of admissible solutions by solving MLDEs becomes increasingly difficult at higher $\\ell$ -- where movable poles and accessory parameters appear. In this work we introduce differential operators that relate higher-$\\ell$ solutions to lower-$\\ell$ ones while preserving modular covariance and integrality of the \\(q\\)-series. In rank two, this generates all allowed Wronskian sectors from the Mathur--Mukhi--Sen equation. In rank th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.18375","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.18375/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}