{"paper":{"title":"Higher-Point Correlators in N=4 SYM: Generating Functions","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"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.","cross_cats":[],"primary_cat":"hep-th","authors_text":"Albert Bekov, Carlos Bercini, Frank Coronado, Till Bargheer","submitted_at":"2025-09-17T18:01:51Z","abstract_excerpt":"We construct generating functions of five- and six-point correlators up to two loops at weak 't Hooft coupling in planar N=4 SYM. These generating functions unify the correlators of the lightest scalar operator in the stress-tensor multiplet with those of all higher R-charge single-trace half-BPS scalar operators, thereby extending previous results for four-point loop integrands. At the integrated level, they are represented as sums of conformal integrals with coefficients exhibiting ten-dimensional poles that combine spacetime and R-charge distances. Our results show that higher-order poles a"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"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.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"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.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"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.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"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.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"8a0d29c33e34f5532318c92922c2d6a00ebd4d566b0b53a697fa214cce59b54b"},"source":{"id":"2509.14332","kind":"arxiv","version":3},"verdict":{"id":"6c413905-9ccf-4a7f-8ae8-0e607ecffd81","model_set":{"reader":"claude-opus-4-7"},"created_at":"2026-05-05T04:59:33.970017Z","strongest_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.","one_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.","pipeline_version":"pith-pipeline@v0.1.0","weakest_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.","pith_extraction_headline":"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."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2509.14332/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}