{"paper":{"title":"q-Askey Deformations of Double-Scaled SYK","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"q-Askey deformations of double-scaled SYK identify chord numbers with ER bridge lengths in sine dilaton gravity.","cross_cats":["gr-qc","quant-ph"],"primary_cat":"hep-th","authors_text":"Josef Seitz, Sergio E. Aguilar-Gutierrez, Trivko Kukolj","submitted_at":"2026-05-13T18:00:01Z","abstract_excerpt":"We construct families of deformations of the double-scaled SYK (DSSYK) model and investigate their bulk interpretation. We introduce microscopic deformations of the SYK model which, after ensemble averaging and in the double-scaling limit, are described by a transfer matrix encoding the recurrence relations of basic orthogonal polynomials in the q-Askey scheme. For certain families of deformations in the semiclassical limit at finite temperature, the chord number (encoding Krylov complexity) corresponds to the length of an Einstein-Rosen bridge connecting an End-Of-The-World brane to an anti-d"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"For certain families of deformations in the semiclassical limit at finite temperature, the chord number (encoding Krylov complexity) corresponds to the length of an Einstein-Rosen bridge connecting an End-Of-The-World brane to an anti-de Sitter asymptotic boundary.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The identification of the deformed transfer matrix with sine dilaton gravity and the ER-bridge length requires that the double-scaling limit and ensemble averaging preserve the geometric interpretation without additional corrections; this is stated as holding for the chosen families but is not derived from first principles in the abstract.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"q-Askey deformations of double-scaled SYK yield transfer matrices for orthogonal polynomials whose semiclassical chord dynamics map to ER bridges and new geometric transitions in sine dilaton gravity.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"q-Askey deformations of double-scaled SYK identify chord numbers with ER bridge lengths in sine dilaton gravity.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"ea64e558ef9d233765fb12fd28ef35ceb620cb43687d24f1492f5b40f3ac567b"},"source":{"id":"2605.13956","kind":"arxiv","version":1},"verdict":{"id":"67689046-4986-4682-9d35-d02c1330a8c5","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T02:38:59.078606Z","strongest_claim":"For certain families of deformations in the semiclassical limit at finite temperature, the chord number (encoding Krylov complexity) corresponds to the length of an Einstein-Rosen bridge connecting an End-Of-The-World brane to an anti-de Sitter asymptotic boundary.","one_line_summary":"q-Askey deformations of double-scaled SYK yield transfer matrices for orthogonal polynomials whose semiclassical chord dynamics map to ER bridges and new geometric transitions in sine dilaton gravity.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The identification of the deformed transfer matrix with sine dilaton gravity and the ER-bridge length requires that the double-scaling limit and ensemble averaging preserve the geometric interpretation without additional corrections; this is stated as holding for the chosen families but is not derived from first principles in the abstract.","pith_extraction_headline":"q-Askey deformations of double-scaled SYK identify chord numbers with ER bridge lengths in sine dilaton gravity."},"references":{"count":200,"sample":[{"doi":"","year":2018,"title":"Moving the CFT into the bulk with $T\\bar T$","work_id":"0b9c18df-edb6-4f68-b80e-c16de110f39d","ref_index":1,"cited_arxiv_id":"1611.03470","is_internal_anchor":true},{"doi":"","year":2015,"title":"Hidden Correlations in the Hawking Radiation and Thermal Noise","work_id":"b1128540-2e28-4460-98a9-79d4e62e08e6","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2015,"title":"A simple model of quantum holography (part 1)","work_id":"6b5a07ae-487f-4377-a696-f1953be0a745","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2015,"title":"A simple model of quantum holography (part 2)","work_id":"738e0310-fded-4ceb-a8cb-189e745f413f","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1993,"title":"S. Sachdev and J. Ye,Gapless spin-fluid ground state in a random quantum heisenberg magnet,Physical Review Letters70(1993) 3339–3342. – 94 –","work_id":"97cf8efb-52fc-4708-962f-0dc72997766e","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":200,"snapshot_sha256":"744fb4c79b7b339da254efe4d66c4cc3e27b2c186b0c03ea71777bc1e7dfe4c8","internal_anchors":43},"formal_canon":{"evidence_count":2,"snapshot_sha256":"279c9c14a9020f0edb98970f34d793c1d8abccfbd5af00b580b6bce8a274d95a"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}