{"schema":"pubphys.bundle/1","record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"84bcc7e29a5db99ec8bdc97cc49c219bcc2996e74782709168b05cb31fd7b56d","created":"2026-10-03T07:18:09Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011"],"salt":"af2d07d1e83a88d3917c60e99ffbd2e53eec76b9af1f14a2782d0ecc62b454fb","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"value","assisted_by":[],"external_id":"qft.swampland.ds-conjecture","kind":"well-posed","literature_status":"open","n":"1","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 min eigenvalue(grad grad V) <= -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":null,"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 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