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The E-series is also the least well understood, with few known results beyond the spectrum.\n  Here, we use a semi-analytic bootstrap approach for numerically computing 4-point correlation functions. We deduce non-chiral fusion rules, i.e. which 3-point structure constants vanish. These vanishings can be explained by constraints fro"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2502.14295","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2025-02-20T06:19:42Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"b164e8d3dc0b9eb30486d162396a5a00678bc446e71df9b026b4e1a5c3e23d43","abstract_canon_sha256":"8222374d5e4f7aa94630f0ed4df7230534de873c19100c6b4fd33e79e891619c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:06:10.426216Z","signature_b64":"yOrOhTh9dnJYsLpSONNAkgsYQmztEtxYYX3GVV7D0gkC/DDDddIPye6dEdt+STCoMV45Iu4Mqc7i59gwvNTUBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"916bf33ebc788fac1b228cc8b857eec63a7080e66fcaf70c24f351c421387219","last_reissued_at":"2026-07-05T11:06:10.425658Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:06:10.425658Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fusion rules and structure constants of E-series minimal models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Rongvoram Nivesvivat, Sylvain Ribault","submitted_at":"2025-02-20T06:19:42Z","abstract_excerpt":"In the ADE classification of Virasoro minimal models, the E-series is the sparsest: their central charges $c=1-6\\frac{(p-q)^2}{pq}$ are not dense in the half-line $c\\in (-\\infty,1)$, due to $q=12,18,30$ taking only 3 values -- the Coxeter numbers of $E_6, E_7, E_8$. The E-series is also the least well understood, with few known results beyond the spectrum.\n  Here, we use a semi-analytic bootstrap approach for numerically computing 4-point correlation functions. We deduce non-chiral fusion rules, i.e. which 3-point structure constants vanish. 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