{"paper":{"title":"A Large Mass Hierarchy from a Small Extra Dimension","license":"","headline":"A small extra dimension with warped geometry generates the weak scale from the Planck scale.","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Lisa Randall, Raman Sundrum","submitted_at":"1999-05-04T01:43:58Z","abstract_excerpt":"We propose a new higher-dimensional mechanism for solving the Hierarchy Problem. The Weak scale is generated from a large scale of order the Planck scale through an exponential hierarchy. However, this exponential arises not from gauge interactions but from the background metric (which is a slice of AdS_5 spacetime). This mechanism relies on the existence of only a single additional dimension. We demonstrate a simple explicit example of this mechanism with two three-branes, one of which contains the Standard Model fields. The experimental consequences of this scenario are new and dramatic. 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This mechanism relies on the existence of only a single additional dimension.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The assumption that the Standard Model fields are localized on the infrared brane and that the five-dimensional background is exactly a slice of AdS5 stabilized by two branes with tuned tensions, with no additional bulk fields or quantum corrections destabilizing the hierarchy.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A warped extra dimension with two branes generates an exponential hierarchy between Planck and weak scales, solving the hierarchy problem and predicting weak-scale graviton resonances.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A small extra dimension with warped geometry generates the weak scale from the Planck scale.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"7a2b41359b31ef1bf4134aa5bc7877985fce631ad8944c1f1aad4dcfcbb183ea"},"source":{"id":"hep-ph/9905221","kind":"arxiv","version":1},"verdict":{"id":"5786bf5f-0186-45b3-bda3-8d17265c21ff","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-13T00:32:49.161209Z","strongest_claim":"We propose a new higher-dimensional mechanism for solving the Hierarchy Problem. The Weak scale is generated from a large scale of order the Planck scale through an exponential hierarchy. However, this exponential arises not from gauge interactions but from the background metric (which is a slice of AdS_5 spacetime). This mechanism relies on the existence of only a single additional dimension.","one_line_summary":"A warped extra dimension with two branes generates an exponential hierarchy between Planck and weak scales, solving the hierarchy problem and predicting weak-scale graviton resonances.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The assumption that the Standard Model fields are localized on the infrared brane and that the five-dimensional background is exactly a slice of AdS5 stabilized by two branes with tuned tensions, with no additional bulk fields or quantum corrections destabilizing the hierarchy.","pith_extraction_headline":"A small extra dimension with warped geometry generates the weak scale from the Planck scale."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/9905221/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":10,"sample":[{"doi":"","year":1998,"title":"The Hierarchy problem and new dimensions at a millime- ter,","work_id":"44ec6956-81c6-41f7-94ea-8f013f27eee1","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1999,"title":"Quantum Gravity and Extra Dimensions at High-Energy Colliders","work_id":"5b8fc6d6-0f1e-4e31-b670-514db883e145","ref_index":2,"cited_arxiv_id":"hep-ph/9811291","is_internal_anchor":false},{"doi":"","year":1999,"title":"N. Arkani-Hamed, S. Dimopoulos, G. Dvali Phys. Rev. D59 ( 1999) 086004, hep- ph/9807344; SN1987A Constraints on Large Compact Dimensions , S. Cullen, M. Perel- stein, hep-ph/9903422; Cosmological Cons","work_id":"5ef72e8c-80a3-4847-b3c2-a4cb94cd75bc","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1996,"title":"P. Horava and E. Witten, Nucl. Phys. B460 (1996) 506, hep- th/9510209; E. Witten, Nucl. Phys. B471 (1996) 135, hep-th/9602070; P. Horava and E . Witten, Nucl. Phys. B475 (1996) 94","work_id":"13fe15ad-e85d-477d-9541-5fbf30e6f99d","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"A. Lukas, B. A. Ovrut, K. S. Stelle and D. 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