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pith:2023:ANPNZYFNVTCCJWD6RCV6WQGQYV
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Subregion Complementarity in AdS/CFT

Seiji Terashima, Sotaro Sugishita

Subregion duality fails in AdS/CFT as causal wedge and global reconstructions disagree at leading large N order.

arxiv:2309.04231 v3 · 2023-09-08 · hep-th

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Claims

C1strongest claim

We demonstrate that the subregion duality fails to hold, highlighting discrepancies between operators in causal wedge reconstruction and those in global reconstruction at the leading order in the large N limit. We argue the invalidity of the entanglement wedge reconstruction based on the holographic quantum error correction code.

C2weakest assumption

The discrepancies at leading large N indicate the invalidity of entanglement wedge reconstruction due to non-perturbative finite N effects or quantum gravity effects from trans-Planckian modes near the horizon (abstract, paragraph on entanglement wedge).

C3one line summary

Subregion duality fails in AdS/CFT at leading large N, leading to the proposal of subregion complementarity allowing different CFT operators to describe one bulk subregion.

References

34 extracted · 34 resolved · 24 Pith anchors

[1] The Large N Limit of Superconformal Field Theories and Supergravity 1998 · arXiv:hep-th/9711200
[2] Effective Conformal Theory and the Flat-Space Limit of AdS 2011 · arXiv:1007.2412
[3] AdS/CFT Correspondence in Operator Formalism 2018 · arXiv:1710.07298
[4] Holographic representation of local bulk operators 2006 · arXiv:hep-th/0606141
[5] AdS Dynamics from Conformal Field Theory · arXiv:hep-th/9808016

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3 papers in Pith

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First computed 2026-06-10T14:10:41.318091Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

035edce0adacc424d87e88abeb40d0c55496380704c80b2973f134d241847eaf

Aliases

arxiv: 2309.04231 · arxiv_version: 2309.04231v3 · doi: 10.48550/arxiv.2309.04231 · pith_short_12: ANPNZYFNVTCC · pith_short_16: ANPNZYFNVTCCJWD6 · pith_short_8: ANPNZYFN
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Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ANPNZYFNVTCCJWD6RCV6WQGQYV \
  | 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: 035edce0adacc424d87e88abeb40d0c55496380704c80b2973f134d241847eaf
Canonical record JSON
{
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    "abstract_canon_sha256": "0970946c396f4e6b780a7f27331d43332d04906f9e623c6e513298841943a5c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2023-09-08T09:36:30Z",
    "title_canon_sha256": "c17890f6f47eefe620936cb394451b8dd7a2ca35666062f4853c3efb271eed24"
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    "kind": "arxiv",
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}