Pith Number

pith:PTK4TE6H

pith:2026:PTK4TE6HBWTCV4YUQUG7TSCS6E

not attested not anchored not stored refs resolved

Conformal defects and Goldstone bosons in Anti-de Sitter space

Elia de Sabbata, Lorenzo Bianchi, Marco Meineri

Conformal defects in Anti-de Sitter space host a displacement operator whose dimension is fixed by residual symmetry, even when the boundary theory is non-local.

arxiv:2605.13947 v1 · 2026-05-13 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTK4TE6HBWTCV4YUQUG7TSCS6E}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

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 prove that their spectrum supports a displacement operator of protected dimension, despite the non-local nature of the conformal theory living at the boundary of AdS. If the defect breaks a global symmetry, a tilt operator is also present.

C2weakest assumption

The defects are assumed to be conformal with boundary conditions that break bulk isometries in a manner compatible with the use of conformal symmetry to protect operator dimensions, without additional dynamical assumptions on the bulk theory.

C3one line summary

Conformal defects in AdS host protected displacement and tilt operators that source bulk Goldstone-like modes with wavelength of order the AdS radius.

References

65 extracted · 65 resolved · 18 Pith anchors

[1] A free theory example A simple example of a defect in a non-local CFT is obtained by coupling a generalized free field (GFF) ind dimensions to another GFF that lives on ap-dimensional linear subspace.

[2] The localized magnetic field in the long-range Ising model Starting from GFF, we can add an interaction term S0 = Z ddu 1 2 ϕSd 2∆ϕ ϕ+ λ 4! ϕ4 .(48) 12 If one takes ∆ ϕ = d−δ 4 , whereδis small, the i

[3] Yang-Mills Flux Tube in AdS, 2025

[4] C. G. Callan and F. Wilczek, Nuclear Physics B340, 366 (1990) 1990

[5] The S-matrix Bootstrap I: QFT in AdS 2017 · arXiv:1607.06109

Receipt and verification

First computed	2026-05-17T23:39:13.786521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cd5c993c70da62af314850df9c852f1347ed4737f5c0a788443820955a8f621

Aliases

arxiv: 2605.13947 · arxiv_version: 2605.13947v1 · doi: 10.48550/arxiv.2605.13947 · pith_short_12: PTK4TE6HBWTC · pith_short_16: PTK4TE6HBWTCV4YU · pith_short_8: PTK4TE6H

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PTK4TE6HBWTCV4YUQUG7TSCS6E \
  | 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: 7cd5c993c70da62af314850df9c852f1347ed4737f5c0a788443820955a8f621

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73c32db85fa3124506bb163de72a3d32e040a515733a30089ac732652432b3a7",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-13T18:00:00Z",
    "title_canon_sha256": "98a2f0898f59035bd76b70e75a98a74a86d6aa2e6cd22fb33c50bd657f95c879"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13947",
    "kind": "arxiv",
    "version": 1
  }
}