{"paper":{"title":"From OPE Associativity to Gravitational Wave Signatures: Critical Dimensions and AdS/dS Transition","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Tetiana Obikhod","submitted_at":"2026-07-04T18:01:56Z","abstract_excerpt":"We present a framework connecting the algebraic consistency of the Operator Product Expansion (OPE) in Conformal Field Theories to observable signatures in the stochastic gravitational wave background (SGWB). By interpreting the conformal 6j symbols as crossing kernels, we extract the anomalous dimensions $\\gamma_{n,J}$ of double-trace operators from the singularities of the crossing equation. Through the AdS/CFT correspondence, these algebraic shifts are holographically reinterpreted as effective mass shifts in the Anti-de Sitter bulk. We identify a critical anomalous dimension, $\\gamma_c$, w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.03969","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2607.03969/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"}