{"paper":{"title":"Bootstrapping Giant Graviton Correlators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Bootstrap conditions from hidden symmetry and cusp limits fix mixed giant-graviton correlators through three loops in large-N N=4 SYM.","cross_cats":[],"primary_cat":"hep-th","authors_text":"Canxin Shi, Congkao Wen, Song He, Yichao Tang","submitted_at":"2026-05-14T02:29:50Z","abstract_excerpt":"We develop bootstrap methods for mixed heavy-light four-point correlators $\\langle GGOO\\rangle$ in $\\mathcal N=4$ super-Yang--Mills theory at large $N$, where $O\\equiv {\\cal O}_2$ is the chiral primary operator in the stress-tensor multiplet and $G$ are (dual) giant graviton operators with dimension of order $N$, including the maximal determinant case. The loop integrand is expanded in a basis of labelled $f$-graphs -- necessarily including non-planar topologies due to the dimension-$N$ nature of the giant gravitons -- and the coefficients are fixed by various bootstrap conditions including do"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"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.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"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.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"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.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Bootstrap conditions from hidden symmetry and cusp limits fix mixed giant-graviton correlators through three loops in large-N N=4 SYM.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"acb00cca47b8cea9d084422672d1ec66508f804c5849a93fd3088bfffda7e91e"},"source":{"id":"2605.14281","kind":"arxiv","version":1},"verdict":{"id":"d430552e-a8a9-4aa0-8f05-affe5294fc24","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T02:42:13.322799Z","strongest_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.","one_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.","pipeline_version":"pith-pipeline@v0.9.0","weakest_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.","pith_extraction_headline":"Bootstrap conditions from hidden symmetry and cusp limits fix mixed giant-graviton correlators through three loops in large-N N=4 SYM."},"references":{"count":39,"sample":[{"doi":"","year":null,"title":"Amplitudes, strings & duality","work_id":"4366d7ce-97be-4f91-9404-fab7984c7545","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2000,"title":"Invasion of the Giant Gravitons from Anti-de Sitter Space","work_id":"79679b74-8dc6-420c-bb46-4fccaf39620c","ref_index":2,"cited_arxiv_id":"hep-th/0003075","is_internal_anchor":true},{"doi":"","year":2000,"title":"Large branes in AdS and their field theory dual","work_id":"214663e0-3450-47a8-a7dc-7cb8d0147f09","ref_index":3,"cited_arxiv_id":"hep-th/0008016","is_internal_anchor":true},{"doi":"","year":2002,"title":"Exact Correlators of Giant Gravitons from dual N=4 SYM","work_id":"f27e9bf3-f355-4d37-ba0b-194c068e79d9","ref_index":4,"cited_arxiv_id":"hep-th/0111222","is_internal_anchor":true},{"doi":"","year":2025,"title":"Gi- ant Graviton Correlators as Defect Systems,","work_id":"62128663-50ba-4d5e-a736-7a38da5d82a3","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":39,"snapshot_sha256":"b1992c9175bf6392c2ad07a4e0bca8e01a1881630332f1df944196978bf34c51","internal_anchors":12},"formal_canon":{"evidence_count":2,"snapshot_sha256":"9f019f417f8c5025156a083ca2ea6ea7dc1862a52dc4c2c0c7fe3407a3729fb1"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}