{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"b4d8349589c4817798b74b65e3624a5b49a72b42c7133a5225fa1ebb8d3b495a","created":"2026-10-03T07:18:09Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"532bbafa750f330e20c17f55706eadc4d6e3ff3457bf6ab707113fa9739e8145","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"classification","assisted_by":[],"external_id":"qft.nonlagrangian.rank2-n2-classification","kind":"well-posed","literature_status":"partially-resolved","n":"1","parents":[],"plain":"Four-dimensional theories with extra supersymmetry (a symmetry pairing each force particle with a matter particle) can be sorted by the shape of their space of vacua. The sorting is complete only for the simplest case, with one complex dimension.","posed_since":"","precise":"Classify 4D $N=2$ SCFTs whose Coulomb branch has complex dimension 2 by their scale-invariant special Kahler geometry (fibrations by 2-dimensional abelian varieties, their stratification, and allowed Coulomb branch scaling dimensions), extending the rank-1 classification of Argyres, Lotito, Lu and Martone (2015-2016), and determine which geometries correspond to consistent SCFTs.","problem_ref":null,"references":"","settled_by":"A proven complete list of rank-2 Coulomb branch geometries with each entry matched to an SCFT or excluded.","status_note":"Rank 1 is classified (2016); rank-2 lists (Martone 2021; Kaidi, Martone, Rastelli, Weaver 2022) are not proven complete.","title":"Classification of rank-2 four-dimensional $N=2$ superconformal theories","topic_ref":"89c4f4e8e732715fcb8a83bb2026e68b8e5c52f290604701597479d68fe09a36"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"dd7f062a479663ef28218d3106df1e512d7b3274df9b3019aea0570fd02231a1","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"0ea103331f4f2545af6341c8af1d14ca113775fe7dee1e084f09c41474f46e26","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"I3uvlyZNgV9LpUCh48nJPop38_4e5Pjg5LT0GFTduEOUOmxB9Dc5lksVo0V5gTL7jO5dHFhQepMtG59KG0lfAw"},"schema":"pubphys.envelope/1"},"record_hash":"dd7f062a479663ef28218d3106df1e512d7b3274df9b3019aea0570fd02231a1","leaf_index":1934}