{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"9e181b080199dedea59dfec1742eec398b55fd6b5ac38934a05944c9d74f3913","created":"2026-10-03T07:18:09Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"b86d7f9e5439ed5896fdc5df702a76825951dc7bdf666f1341a1053d0a4e97df","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":"1","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":null,"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":"89c4f4e8e732715fcb8a83bb2026e68b8e5c52f290604701597479d68fe09a36"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"b60d4f6ed743b29c1139e8b8f40b9fdcf9eafcb4bf69183b69d1869e38c08eed","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"1bed0577596676dca52378726380d8dc790b3c6df1bb2ef10e67483e1c1ebf6d","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"ADcqisOGNEFByKav9vIJ1XDVz6p5oNkVC3VP3oNectSuqMfjtAXuzn7aemRPoH3TNifFB4R4GXigrw2gi6ytDQ"},"schema":"pubphys.envelope/1"},"record_hash":"b60d4f6ed743b29c1139e8b8f40b9fdcf9eafcb4bf69183b69d1869e38c08eed","leaf_index":1931}