{"paper":{"title":"On the duality in constant-roll inflation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Qing Gao, Shengqing Gao, Yue Wang, Yungui Gong","submitted_at":"2024-04-29T09:40:40Z","abstract_excerpt":"There is a duality in the observables $n_s$, $r$ and the inflaton potential between large and small $\\eta_H$ for the constant-roll inflation if the slow-roll parameter $\\epsilon_H$ is negligible. In general, the duality between $\\eta_H$ and $\\bar{\\eta}_H$ does not hold for the background evolution of the inflation. For some particular solutions for the constant-roll inflation with $\\eta_H$ being a constant, we find that in the small field approximation, the potential takes the quadratic form and it remains the same when the parameter $\\eta_H$ changes to $\\bar{\\eta}_H=3-\\eta_H$. If the scalar f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.18548","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.18548/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}