Pith Number

pith:VG6S2SBJ

pith:1999:VG6S2SBJRCQGAJIAHPR2EQFNXP

not attested not anchored not stored refs resolved

A Large Mass Hierarchy from a Small Extra Dimension

Lisa Randall, Raman Sundrum

A small extra dimension with warped geometry generates the weak scale from the Planck scale.

arxiv:hep-ph/9905221 v1 · 1999-05-04 · hep-ph · hep-th

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\pithnumber{VG6S2SBJRCQGAJIAHPR2EQFNXP}

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Record completeness

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest 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.

C2weakest 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.

C3one 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.

References

10 extracted · 10 resolved · 1 Pith anchors

[1] The Hierarchy problem and new dimensions at a millime- ter, 1998

[2] Quantum Gravity and Extra Dimensions at High-Energy Colliders 1999 · arXiv:hep-ph/9811291

[3] 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 1999

[4] 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 1996

[5] A. Lukas, B. A. Ovrut, K. S. Stelle and D. Waldram, The Universe as a Domain Wall , hep-th/9803235

Formal links

2 machine-checked theorem links

Cited by

75 papers in Pith

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Signatures of gravity-mediated dark matter interaction in theories with large extra dimensions

Receipt and verification

First computed	2026-07-04T15:27:26.123576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9bd2d482988a06025003be3a240adbbc083f1f6198e2247c7b16b6b279c8b3b

Aliases

arxiv: hep-ph/9905221 · arxiv_version: hep-ph/9905221v1 · doi: 10.48550/arxiv.hep-ph/9905221 · pith_short_12: VG6S2SBJRCQG · pith_short_16: VG6S2SBJRCQGAJIA · pith_short_8: VG6S2SBJ

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VG6S2SBJRCQGAJIAHPR2EQFNXP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a9bd2d482988a06025003be3a240adbbc083f1f6198e2247c7b16b6b279c8b3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e7824f8b6b46eddaa877c98b8556702bd9136dcf8df93d3af86b4b6232974c4",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-05-04T01:43:58Z",
    "title_canon_sha256": "dcf234ebf4ef9a660f077a65776c7fb24e0536d936818e7830cc87993256d5ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9905221",
    "kind": "arxiv",
    "version": 1
  }
}