{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"b72675346f6cb54cf1e1253e9c8e7fbe9f77c0ca3deebac905a14c0d789319da","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["b60d4f6ed743b29c1139e8b8f40b9fdcf9eafcb4bf69183b69d1869e38c08eed","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"68d75fd018288fe5b9684f531837e5cdf7176fcf79aa10e382505b779a7d2e46","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"qft.nonlagrangian.6d-scft-completeness","kind":"well-posed","literature_status":"open","n":"2","parents":[],"plain":"A catalog of six-dimensional theories was built from geometric constructions in string theory. Whether every such theory appears in the catalog is unknown.","posed_since":"2015","precise":"Heckman, Morrison, Rudelius and Vafa (2015) classified $6\\mathrm{D}\\,(1,0)$ SCFTs realized by F-theory on elliptically fibered Calabi-Yau threefolds with contractible bases. Determine whether every interacting $6\\mathrm{D}\\,(1,0)$ SCFT admits such a realization, including frozen phases with $\\mathrm{O7}+$ planes, by a field-theoretic completeness argument or a counterexample.","problem_ref":"b60d4f6ed743b29c1139e8b8f40b9fdcf9eafcb4bf69183b69d1869e38c08eed","references":"","settled_by":"A field-theoretic proof that consistency (anomaly cancellation and unitarity on the tensor branch) admits only the geometric list, or an explicit theory outside it.","status_note":"Frozen-singularity theories (Bhardwaj, Morrison, Tachikawa, Tomasiello 2018) enlarged the F-theory list; no field-theoretic completeness argument exists.","title":"Do all six-dimensional superconformal theories arise from F-theory?","topic_ref":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"55c2430c4e2c2d3d6bf364702c5d9e41a8c38e1acf708d14638aa36661082446","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"497728c419c19df3378b8bc7d8e988d99a9cfff99975da827001fc17933be25d","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"R2_tSlbRnBc6ftRnu89Ku-jl5EGWcAiR71p0dWTm_IQCMF_kHPlnJCTV1TFTE8seWS7_Ltrn7qHVBQMGgiZNDg"},"schema":"pubphys.envelope/1"},"record_hash":"55c2430c4e2c2d3d6bf364702c5d9e41a8c38e1acf708d14638aa36661082446","leaf_index":3662}