{"paper":{"title":"Gauge Theory Correlators from Non-Critical String Theory","license":"","headline":"Gauge theory correlators are extracted from how the supergravity action in anti-de Sitter space depends on boundary conditions.","cross_cats":[],"primary_cat":"hep-th","authors_text":"A.M. Polyakov, I.R. Klebanov, S.S. Gubser","submitted_at":"1998-02-16T18:38:17Z","abstract_excerpt":"We suggest a means of obtaining certain Green's functions in 3+1-dimensional ${\\cal N} = 4$ supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory. The non-critical string theory is related to critical string theory in anti-deSitter background. We introduce a boundary of the anti-deSitter space analogous to a cut-off on the Liouville coordinate of the two-dimensional string theory. Correlation functions of operators in the gauge theory are related to the dependence of the supergravity action on the boundary conditions. From the quadratic terms in supergra"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The operators that couple to massive string states at level n acquire anomalous dimensions that grow as 2 (n g_YM sqrt(2 N))^{1/2} for large 't Hooft coupling. This is a new prediction about the strong coupling behavior of large N SYM theory.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The non-critical string theory is related to critical string theory in anti-de Sitter background, with a boundary analogous to a Liouville cut-off, and gauge theory correlation functions are given by the dependence of the supergravity action on boundary conditions.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Gauge theory correlators in 3+1D N=4 SYM with large N are obtained from the supergravity action on the AdS boundary, with anomalous dimensions for massive string modes growing as 2(n g_YM sqrt(2N))^{1/2} at strong 't Hooft coupling.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Gauge theory correlators are extracted from how the supergravity action in anti-de Sitter space depends on boundary conditions.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"023d7f8f2532f904392c1d3540ef56767b0b093082a78bcbb3e3257da531be35"},"source":{"id":"hep-th/9802109","kind":"arxiv","version":2},"verdict":{"id":"29c02aad-61fa-4efe-880c-5010fde9672f","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-11T15:52:09.773353Z","strongest_claim":"The operators that couple to massive string states at level n acquire anomalous dimensions that grow as 2 (n g_YM sqrt(2 N))^{1/2} for large 't Hooft coupling. This is a new prediction about the strong coupling behavior of large N SYM theory.","one_line_summary":"Gauge theory correlators in 3+1D N=4 SYM with large N are obtained from the supergravity action on the AdS boundary, with anomalous dimensions for massive string modes growing as 2(n g_YM sqrt(2N))^{1/2} at strong 't Hooft coupling.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The non-critical string theory is related to critical string theory in anti-de Sitter background, with a boundary analogous to a Liouville cut-off, and gauge theory correlation functions are given by the dependence of the supergravity action on boundary conditions.","pith_extraction_headline":"Gauge theory correlators are extracted from how the supergravity action in anti-de Sitter space depends on boundary conditions."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9802109/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":24,"sample":[{"doi":"","year":1980,"title":"Gauge Fields as Rings of Glue","work_id":"36fb3c61-73de-4996-94cf-c0a587c720a4","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1979,"title":"Exact Equation for the Lo op Average in Mul- ticolor QCD","work_id":"52cd698d-fbc8-450c-9d4d-fd080c69ca9d","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1974,"title":"A planar diagram theory for strong interact ions","work_id":"6c48e883-60be-4e03-bb9a-987632e969c3","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"String theory and quark confinement","work_id":"95ba559d-7161-4665-9f1b-312b3198df77","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1985,"title":"Effective Field Theory f rom Quantized Strings","work_id":"4f593ae0-3884-4a69-8865-da37849a14bd","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":24,"snapshot_sha256":"b775a95cb8bfe1859c644126dfb4fe43b1ab98e5d52c53ae7ca5c92826a93104","internal_anchors":1},"formal_canon":{"evidence_count":2,"snapshot_sha256":"2f90907784d8224d5fbf5c6094546852ea519269ae6c93fcc4afc915a72a7de0"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}