{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"4fc6272735c5db4213223b420c05d281324b145f51e2ffb83a7b9d14fcb0842e","created":"2026-10-15T23:43:22Z","files":[],"origin":{"assisted_by":["ai:gpt-5.5"],"kind":"seed"},"parents":["ce59fb6cd812fc05906d0c60a71c75ea22bc686bcf38e7c3ef7010834d98ee7b","d3fbc8a6c40f3be18419d69e29fe70ba88e095e64e47cd9febc0549aea079f1c"],"salt":"f02571be21985a4419e7c67725e43930858f37ac3c1b0ea433f59e1bf1b60f18","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":["ai:gpt-5.5"],"external_id":"qft.swampland.ds-conjecture","kind":"well-posed","literature_status":"open","n":"2","parents":[],"plain":"A conjecture says that wherever string theory is weakly coupled, the vacuum energy must slope steeply downhill. Whether this holds, and how steep the slope must be, is unknown.","posed_since":"2018","precise":"The refined de Sitter conjecture (2018) states that in asymptotic, weakly coupled regions of moduli space, $\\mid \\operatorname{grad} V \\mid \\ge c V/M_{P}$ or $\\mathrm{min}\\ \\mathrm{eigenvalue}(\\operatorname{grad}\\ \\operatorname{grad} V) \\le -c' V/M_P^{2}$ with c, c' of order 1. Determine whether this holds in all asymptotic regions of string moduli spaces and find the optimal value of c in d dimensions.","problem_ref":"d3fbc8a6c40f3be18419d69e29fe70ba88e095e64e47cd9febc0549aea079f1c","references":"","settled_by":"A proof over all asymptotic limits of string compactifications with the sharp constant, or an explicit asymptotic counterexample.","status_note":"Candidate sharp values are $c = 2/\\sqrt{(d-1)(d-2)}$ from the trans-Planckian censorship conjecture (Bedroya, Vafa 2019) and $c = 2/\\sqrt{d-2}$ (Rudelius 2021), tested in many but not all asymptotic limits (2021-2025).","title":"Bound on scalar potential slopes in asymptotic field space","topic_ref":null},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"f047720a2855fbae48e34b4177da34f170655f4a808ac9104c5cee0613c5058c","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"aa869d6d8c0c277cff1c25b6b8860e32c42787efadc2a711c2c8886598e55d0c","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"VgJTeDX_H1FQ-60vMRELhiEh_Dzf0Q8MkohzRKNwGK0Vb39kvi6TxrpZBXQQ6CYwRDaxs9DSfsGQuQxjixpHAA"},"schema":"pubphys.envelope/1"},"record_hash":"f047720a2855fbae48e34b4177da34f170655f4a808ac9104c5cee0613c5058c","leaf_index":3688}