Pith Number

pith:LJLK2LJL

pith:2025:LJLK2LJLWDS2YNDW4NCP5OUDOT

not attested not anchored not stored refs pending

Higher-Point Correlators in N=4 SYM: Generating Functions

Albert Bekov, Carlos Bercini, Frank Coronado, Till Bargheer

Five- and six-point planar half-BPS correlators in N=4 SYM admit two-loop generating functions whose higher-order ten-dimensional poles factor into products of lower-point generating functions.

arxiv:2509.14332 v3 · 2025-09-17 · hep-th

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\usepackage{pith}
\pithnumber{LJLK2LJLWDS2YNDW4NCP5OUDOT}

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Record completeness

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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

Five- and six-point correlators of all single-trace half-BPS scalar operators in planar N=4 SYM admit, up to two loops at weak coupling, generating-function representations as sums of conformal integrals whose coefficients are organized by 10D poles combining spacetime and R-charge distances, with higher-order poles given by products of lower-point generating functions.

C2weakest assumption

That the 10D-distance / hidden-symmetry structure known for four-point half-BPS correlators extends in a controlled, well-defined way to five- and six-point correlators at the integrated (not just integrand) level — the abstract asserts this structurally but offers no proof sketch in the abstract; the factorization of higher-order poles into lower-point generating functions is a strong structural claim whose derivation is not visible without the full text.

C3one line summary

Construction of two-loop five- and six-point generating-function correlators of half-BPS operators in planar N=4 SYM, with 10D-pole structure and integrability cross-checks.

Cited by

1 paper in Pith

Notes on off-shell conformal integrals and correlation functions at five points

Receipt and verification

First computed	2026-06-19T16:12:47.879770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a56ad2d2bb0e5ac3476e344feba8374e4d7692ef2908a1208e51700230f8893

Aliases

arxiv: 2509.14332 · arxiv_version: 2509.14332v3 · doi: 10.48550/arxiv.2509.14332 · pith_short_12: LJLK2LJLWDS2 · pith_short_16: LJLK2LJLWDS2YNDW · pith_short_8: LJLK2LJL

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LJLK2LJLWDS2YNDW4NCP5OUDOT \
  | 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: 5a56ad2d2bb0e5ac3476e344feba8374e4d7692ef2908a1208e51700230f8893

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9a2750d1c7c50c732cf0a43a4633bdeaabb9301b69ed27acec6b9297d76411e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-09-17T18:01:51Z",
    "title_canon_sha256": "4d4cff81d60e098f6911b10ca193d25a698bc6a6ea58f31d6b5cf548d4041dc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.14332",
    "kind": "arxiv",
    "version": 3
  }
}