Pith Number

pith:46RGY5KK

pith:2026:46RGY5KKXXKMOBXI7OFMKKC6F3

not attested not anchored not stored refs resolved

Bootstrapping Giant Graviton Correlators

Canxin Shi, Congkao Wen, Song He, Yichao Tang

Bootstrap conditions from hidden symmetry and cusp limits fix mixed giant-graviton correlators through three loops in large-N N=4 SYM.

arxiv:2605.14281 v1 · 2026-05-14 · hep-th

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3 Author claim open · sign in to claim

4 Citations 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

Together, these inputs uniquely determine the correlator through three loops, passing further non-trivial consistency checks. For the maximal determinant operator, we reproduce the known results through two loops and obtain the full three-loop correction.

C2weakest assumption

The ten-dimensional hidden symmetry and the double-triangle/triangle rules in cusp and OPE limits are assumed to hold without additional corrections at three loops; if these bootstrap conditions are incomplete or receive higher-order modifications, the uniqueness claim fails.

C3one line summary

Bootstrap methods using f-graphs, OPE limits, localization integrals, and hidden symmetry uniquely fix mixed giant graviton-light correlators through three loops in N=4 SYM.

References

39 extracted · 39 resolved · 12 Pith anchors

[1] Amplitudes, strings & duality

[2] Invasion of the Giant Gravitons from Anti-de Sitter Space 2000 · arXiv:hep-th/0003075

[3] Large branes in AdS and their field theory dual 2000 · arXiv:hep-th/0008016

[4] Exact Correlators of Giant Gravitons from dual N=4 SYM 2002 · arXiv:hep-th/0111222

[5] Gi- ant Graviton Correlators as Defect Systems, 2025

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:10.285128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7a26c754abdd4c706e8fb8ac5285e2ec658e5f0b95c0217ea5a6b38424ce29d

Aliases

arxiv: 2605.14281 · arxiv_version: 2605.14281v1 · doi: 10.48550/arxiv.2605.14281 · pith_short_12: 46RGY5KKXXKM · pith_short_16: 46RGY5KKXXKMOBXI · pith_short_8: 46RGY5KK

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/46RGY5KKXXKMOBXI7OFMKKC6F3 \
  | 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: e7a26c754abdd4c706e8fb8ac5285e2ec658e5f0b95c0217ea5a6b38424ce29d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9fe2290d49bbef3a1df561916d65302ae99043ad16c6987cae90da3dcbd83ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-14T02:29:50Z",
    "title_canon_sha256": "622151b0a0c406a9517c6fe27e9b297ff51420f2c95bfdb3bb17a7b57b70ef77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.14281",
    "kind": "arxiv",
    "version": 1
  }
}