{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"f9d3f35dc2c01e43f34d388b3bf32d2bef9c8f779f8772471a8de13e845e06bd","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["018ea658fc92127621dc04f5886191593fbfbb84f2c6b026e984245f8eff7b9c","ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b"],"salt":"4743639968a0b73959d07d4c9015e31d19b583c4181a40d55fe801e96ff6bfb4","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":"2","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":"018ea658fc92127621dc04f5886191593fbfbb84f2c6b026e984245f8eff7b9c","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":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"b78fab24b3e51b5739dbd175a9ccc5ebbd08999f4430c177f0bfc0d4a5050afd","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"3a14743384f1e8649a4aeaf51e34a7b35cfca3afad902cdfac73b883cbd34415","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"bNnzh4l0uD3RMdv0v9_0Uf5eATN0gxiXQOv9E9xF1N0h0cGOLUENNYoxUgNkZOwyyL-aoDceWoA6FLjlSz0WBg"},"schema":"pubphys.envelope/1"},"record_hash":"b78fab24b3e51b5739dbd175a9ccc5ebbd08999f4430c177f0bfc0d4a5050afd","leaf_index":3628}