{"paper":{"title":"Dimensional reduction of AdS3 Chern-Simons gravity: Schwarzian and affine boundary theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Symmetry reduction of AdS3 Chern-Simons gravity produces both standard Schwarzian and deformed affine boundary theories.","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Goffredo Chirco, Lucio Vacchiano, Patrizia Vitale","submitted_at":"2026-05-14T18:08:12Z","abstract_excerpt":"We study a symmetry-reduced sector of $AdS_3/\\mathbb Z_2$ gravity formulated as an $SO(2,2)$ Chern--Simons theory on a 3D-manifold with toroidal boundary. The reduction is implemented by requiring a globally defined symmetry and restricting to the sector in which the gauge connection is invariant along the symmetry flow. The resulting theory reduces to a two-dimensional BF-like model together with an induced one-dimensional boundary action. We show that the reduced theory admits two inequivalent boundary sectors, originated by two different boundary conditions for the parent 3d theory at the l"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"On the boundary subspace A_τ=Φ, the universal one-dimensional action reproduces the standard Drinfel'd--Sokolov reduction in JT gravity which captures the Schwarzian boundary dynamics. On the generalized boundary A_τ=λ'Φ+u^{-1}∂_τ u, the same action instead yields a deformed Schwarzian functional with affine residual symmetry, naturally associated with a non-extremal or Rindler-type regime.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The reduction requires that the gauge connection is invariant along the symmetry flow and that the two specific boundary conditions (A_τ=Φ and the generalized form) are admissible at the level of the variational principle for the parent 3D Chern-Simons theory.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Symmetry reduction of 3D AdS Chern-Simons gravity on toroidal boundary yields two inequivalent 1D boundary theories: standard Schwarzian and affine-deformed Schwarzian with Kac-Moody extensions.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Symmetry reduction of AdS3 Chern-Simons gravity produces both standard Schwarzian and deformed affine boundary theories.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"1e3710cf7056a2f646db1e8dce66f3a6c715ebfb745caaebd2fbf65d3db95df2"},"source":{"id":"2605.15293","kind":"arxiv","version":1},"verdict":{"id":"73813465-e1d9-4ddc-8c90-4e8992b3a4be","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T15:27:01.549181Z","strongest_claim":"On the boundary subspace A_τ=Φ, the universal one-dimensional action reproduces the standard Drinfel'd--Sokolov reduction in JT gravity which captures the Schwarzian boundary dynamics. On the generalized boundary A_τ=λ'Φ+u^{-1}∂_τ u, the same action instead yields a deformed Schwarzian functional with affine residual symmetry, naturally associated with a non-extremal or Rindler-type regime.","one_line_summary":"Symmetry reduction of 3D AdS Chern-Simons gravity on toroidal boundary yields two inequivalent 1D boundary theories: standard Schwarzian and affine-deformed Schwarzian with Kac-Moody extensions.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The reduction requires that the gauge connection is invariant along the symmetry flow and that the two specific boundary conditions (A_τ=Φ and the generalized form) are admissible at the level of the variational principle for the parent 3D Chern-Simons theory.","pith_extraction_headline":"Symmetry reduction of AdS3 Chern-Simons gravity produces both standard Schwarzian and deformed affine boundary theories."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.15293/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_title_agreement","ran_at":"2026-05-19T16:01:18.174918Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T15:41:05.430115Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T14:41:54.236573Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T13:33:22.785088Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"6525c972d9f4e1fb06b332c09855e32bab7696763da7d35875655c77602aa075"},"references":{"count":41,"sample":[{"doi":"","year":1985,"title":"R. Jackiw,Lower dimensional gravity,Nucl. Phys. B252(1985) 343. – 21 –","work_id":"d4697eeb-9f7f-4d30-a40e-f4ced30778bd","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1983,"title":"Teitelboim,Gravitation and hamiltonian structure in two space-time dimensions,Phys","work_id":"ea6504f0-4a67-482e-b3f3-4fdd3524bb02","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2015,"title":"Models of AdS2 backreaction and holography","work_id":"0a52683a-a9d3-4d2e-aa52-55263eb39498","ref_index":3,"cited_arxiv_id":"1402.6334","is_internal_anchor":true},{"doi":"","year":2016,"title":"Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space","work_id":"a911679a-8b19-49d0-ac37-1e0bafce1104","ref_index":4,"cited_arxiv_id":"1606.01857","is_internal_anchor":true},{"doi":"","year":2016,"title":"An investigation of AdS 2 back- reaction and holography","work_id":"2c4c97e3-3be3-4e19-99e0-baf1581c03cc","ref_index":5,"cited_arxiv_id":"1606.03438","is_internal_anchor":true}],"resolved_work":41,"snapshot_sha256":"abb1273d7af77e1bc7245b0e253a171e95283f316735e091495a79f16f797d91","internal_anchors":24},"formal_canon":{"evidence_count":2,"snapshot_sha256":"b615e4b31637480045cf701341c709dc7bf4425654d68b8fd5aa3ff9e0015820"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}