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We discover two infinite families and nine exceptional examples. The exceptions are all related to the Leech lattice: their automorphism groups are the larger groups in the Suzuki chain ($\\mathrm{Co}_1$, $\\mathrm{Suz}{:}2$, $\\mathrm{G}_2(4){:}2$, $\\mathrm{J}_2{:}2$, $\\mathrm{U}_3(3){:}2$) and ce"},"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":"1908.11012","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2019-08-29T01:39:19Z","cross_cats_sorted":["hep-th","math.GR"],"title_canon_sha256":"fd34092aad9f28dbefa9f9cd75024d155a68e2efbdbec8056e22cd948b7c9d32","abstract_canon_sha256":"a3f7ceb3f84b0c6a31ec31466fbf93e641ab91d0dd2d105da39fde3d40d3e43b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:57:47.959366Z","signature_b64":"YEihgg6iOws0wdW7Qi1erT7bpBZY71Wr0d3KbkjPPgvUYQmRzfVWON7NMzHyV6x8OtG6YD8KFsl4QkvUFhU6Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"220047e1ba2fce67e199b35d3980a40a5b8c8fa9a444afbf0578dbcaa9913979","last_reissued_at":"2026-07-05T01:57:47.958942Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:57:47.958942Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Supersymmetry and the Suzuki chain","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.GR"],"primary_cat":"math.QA","authors_text":"Theo Johnson-Freyd","submitted_at":"2019-08-29T01:39:19Z","abstract_excerpt":"We classify $N{=}1$ SVOAs with no free fermions and with bosonic subalgebra a simply connected WZW algebra which is not of type $\\mathrm{E}$. The latter restriction makes the classification tractable; the former restriction implies that the $N{=}1$ automorphism groups of the resulting SVOAs are finite. We discover two infinite families and nine exceptional examples. 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