{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"ac24c42a0bee6b968ed3af7584d37d56de9114000135ab1b0a21a54b9000ede7","created":"2026-10-03T07:18:08Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"e501b1bf165458a6aa2ebc81567542b9bec8a1bf172a2cc60948fbb353b5403f","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"yes-no","assisted_by":[],"external_id":"qft.cft-rg.nonsusy-conformal-manifold","kind":"well-posed","literature_status":"contested","n":"1","parents":[],"plain":"Some scale-invariant theories come in continuous families, in which a parameter can be changed while scale invariance stays exact. Above two dimensions, all established interacting examples rely on supersymmetry, a symmetry between bosons and fermions, and whether any exist without it is unknown.","posed_since":"","precise":"A conformal manifold is a continuous family of CFTs generated by exactly marginal operators (scaling dimension exactly d along the family). In $d = 3\\ \\text{or}\\ 4$, determine whether a unitary interacting CFT without supersymmetry, at finite $N$, has an exactly marginal operator. Candidates come from holography: families of non-supersymmetric $\\mathrm{AdS}_4$ S-fold solutions of type IIB supergravity argued to be perturbatively and nonperturbatively stable (Giambrone et al. 2021; Bobev, Gautason, van Muiden 2023).","problem_ref":null,"references":"","settled_by":"A non-supersymmetric CFT with an exactly marginal operator established at finite N by field theory or bootstrap, or a theorem excluding one under stated assumptions.","status_note":"Holographic $\\mathrm{AdS}4$ candidates (2021-2023) are argued stable, but no field-theory dual at finite $N$ has been identified.","title":"Do non-supersymmetric conformal manifolds exist above two dimensions","topic_ref":"59b3cca1f32dc01e525b6517c866b60ced9512aa01bc51694ea2f6fc00c1ca06"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"018ea658fc92127621dc04f5886191593fbfbb84f2c6b026e984245f8eff7b9c","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"51291aa6440bd0b632c4cd6bf8b263d84880087dbefd9f0c9253eb820aa7b16e","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"M_dxHtE1GcBtkaAXFmqUxsjXKs0Del2Eh37D3F-zEngAOSjDN7sNYJlLQfDQX-D5ItErnz4yVkZj03DgC7X9Cg"},"schema":"pubphys.envelope/1"},"record_hash":"018ea658fc92127621dc04f5886191593fbfbb84f2c6b026e984245f8eff7b9c","leaf_index":1894}