{"paper":{"title":"Holographic two-point functions of heavy operators revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"The D3-brane action requires additional boundary terms to compute holographic two-point functions of heavy operators correctly.","cross_cats":[],"primary_cat":"hep-th","authors_text":"Prokopii Anempodistov","submitted_at":"2026-03-30T18:03:39Z","abstract_excerpt":"In this paper we investigate the holographic computation of the two-point functions of $\\frac{1}{2}$-BPS chiral primary operators with scaling dimensions $\\Delta \\sim N$ or $\\Delta \\sim N^2$ in $\\mathcal{N}=4$ $SU(N)$ SYM using Type IIB supergravity. First we consider giant graviton operators, resolving ambiguities in the previous literature on holographic computation of the two-point function, and make a new proposal for this calculation. We argue that the D3-brane action for the giant gravitons (as well as for their $\\frac{1}{4}$- and $\\frac{1}{8}$-BPS counterparts) should contain additional"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We argue that the D3-brane action for the giant gravitons (as well as for their 1/4- and 1/8-BPS counterparts) should contain additional boundary terms which arise naturally from the path integral and which are required to make the variational problem well-defined. We derive the form of these terms and show that the corrected action has an on-shell value that reproduces the two-point function of the gauge theory operators.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The assumption that the additional boundary terms arise naturally from the path integral, are required to make the variational problem well-defined, and that the on-shell value of the corrected action directly reproduces the gauge theory two-point function without further corrections or normalizations.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Corrected D3-brane actions with path-integral boundary terms reproduce two-point functions of giant graviton operators, while GHY boundary terms yield correlators for Δ~N² operators in LLM geometries.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"The D3-brane action requires additional boundary terms to compute holographic two-point functions of heavy operators correctly.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"9512d2ac9b57d07172e62f9640a7b1134a49735d2bbe680e08517786e7bb3fda"},"source":{"id":"2603.28880","kind":"arxiv","version":4},"verdict":{"id":"c183a48c-4c17-448e-a655-fc32a648e7db","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T00:48:40.206350Z","strongest_claim":"We argue that the D3-brane action for the giant gravitons (as well as for their 1/4- and 1/8-BPS counterparts) should contain additional boundary terms which arise naturally from the path integral and which are required to make the variational problem well-defined. We derive the form of these terms and show that the corrected action has an on-shell value that reproduces the two-point function of the gauge theory operators.","one_line_summary":"Corrected D3-brane actions with path-integral boundary terms reproduce two-point functions of giant graviton operators, while GHY boundary terms yield correlators for Δ~N² operators in LLM geometries.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The assumption that the additional boundary terms arise naturally from the path integral, are required to make the variational problem well-defined, and that the on-shell value of the corrected action directly reproduces the gauge theory two-point function without further corrections or normalizations.","pith_extraction_headline":"The D3-brane action requires additional boundary terms to compute holographic two-point functions of heavy operators correctly."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.28880/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":2,"snapshot_sha256":"2569976982f28896aa565b53cd3f8c1016549804c0cf8b2c8e1c90b811eb1552"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}