Pith Number

pith:XDLATDNN

pith:2026:XDLATDNNBNNIWP654NJ3XLADFS

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Protected operators in non-local defect CFTs from AdS

Jiaxin Qiao

Defect-induced symmetry breaking in AdS appears spontaneous from the bulk, so Ward identities protect displacement and tilt operators in the non-local boundary CFT.

arxiv:2605.13975 v1 · 2026-05-13 · hep-th · math-ph · math.MP

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Claims

C1strongest claim

We argue that, under general assumptions, displacement and tilt operators nevertheless exist and have protected quantum numbers. The mechanism is a Goldstone-type phenomenon in AdS: defect-induced symmetry breaking on the boundary is spontaneous from the viewpoint of the local bulk theory, whose Ward identities enforce the corresponding protected defect operators.

C2weakest assumption

The assumption that defect-induced symmetry breaking on the boundary is spontaneous from the viewpoint of the local bulk theory, allowing bulk Ward identities to enforce protection (stated as the central mechanism under general assumptions).

C3one line summary

Defect-induced symmetry breaking viewed from the AdS bulk enforces protected displacement and tilt operators in non-local boundary CFTs via Ward identities.

References

103 extracted · 103 resolved · 40 Pith anchors

[1] Non-Hamiltonian approach to conformal quantum field theory, 1974

[2] Bounding scalar operator dimensions in 4D CFT 2008 · arXiv:0807.0004

[3] Solving the 3D Ising Model with the Conformal Bootstrap 2012 · arXiv:1203.6064

[4] Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents 2014 · arXiv:1403.4545

[5] The Conformal Bootstrap: Theory, Numerical Techniques, and Applications 2019 · arXiv:1805.04405

Formal links

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Receipt and verification

First computed	2026-05-17T23:39:13.444630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8d6098dad0b5a8b3fdde353bbac032c8fe9eb2f3f2f5abf00bac1270b3bfd76

Aliases

arxiv: 2605.13975 · arxiv_version: 2605.13975v1 · doi: 10.48550/arxiv.2605.13975 · pith_short_12: XDLATDNNBNNI · pith_short_16: XDLATDNNBNNIWP65 · pith_short_8: XDLATDNN

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/XDLATDNNBNNIWP654NJ3XLADFS \
  | 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: b8d6098dad0b5a8b3fdde353bbac032c8fe9eb2f3f2f5abf00bac1270b3bfd76

Canonical record JSON

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      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-13T18:00:12Z",
    "title_canon_sha256": "aea588d6c81a02798621ae5d3aea5d06f2c9b2cf810496da130176ae9635d68a"
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    "kind": "arxiv",
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