{"paper":{"title":"Butterflies in $\\textrm{T}\\overline{\\textrm{T}}$ deformed anomalous CFT$_2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"TTbar deformation preserves the chaos bound in anomalous two-dimensional CFTs while altering the butterfly velocity.","cross_cats":[],"primary_cat":"hep-th","authors_text":"Debarshi Basu, Mingshuai Xu","submitted_at":"2026-05-12T18:05:29Z","abstract_excerpt":"We study quantum chaos in $\\textrm{T}\\overline{\\textrm{T}}$-deformed two-dimensional conformal field theories with gravitational anomaly and their holographic dual description in topologically massive gravity. Using pole-skipping and shock-wave analysis, we extract the Lyapunov exponent and butterfly velocity and analyze the interplay between irrelevant deformation and parity-violating dynamics. We find that the chaos bound remains saturated, while the butterfly velocity exhibits nontrivial dependence on the deformation parameter and anomaly. We also identify a Hagedorn regime in which the cha"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We find that the chaos bound remains saturated, while the butterfly velocity exhibits nontrivial dependence on the deformation parameter and anomaly. We also identify a Hagedorn regime in which the chaotic response becomes complex valued, signaling a breakdown of the physical branch of the deformed theory.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That the pole-skipping and shock-wave analyses remain valid in the TTbar-deformed theory with anomaly and that the holographic dual in topologically massive gravity continues to capture the correct chaotic dynamics of the boundary theory.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"In TTbar-deformed anomalous CFT2 the chaos bound stays saturated while butterfly velocity depends nontrivially on deformation strength and anomaly, with a Hagedorn regime where the chaotic response turns complex.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"TTbar deformation preserves the chaos bound in anomalous two-dimensional CFTs while altering the butterfly velocity.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"14f935cd49e43578a97bc8a1f851399acc5af64eed96060da1b3dd9bb4d54f51"},"source":{"id":"2605.12616","kind":"arxiv","version":1},"verdict":{"id":"6ff2d483-5cf5-4786-acd6-a7d8edeb8a4e","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T20:24:33.806791Z","strongest_claim":"We find that the chaos bound remains saturated, while the butterfly velocity exhibits nontrivial dependence on the deformation parameter and anomaly. We also identify a Hagedorn regime in which the chaotic response becomes complex valued, signaling a breakdown of the physical branch of the deformed theory.","one_line_summary":"In TTbar-deformed anomalous CFT2 the chaos bound stays saturated while butterfly velocity depends nontrivially on deformation strength and anomaly, with a Hagedorn regime where the chaotic response turns complex.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That the pole-skipping and shock-wave analyses remain valid in the TTbar-deformed theory with anomaly and that the holographic dual in topologically massive gravity continues to capture the correct chaotic dynamics of the boundary theory.","pith_extraction_headline":"TTbar deformation preserves the chaos bound in anomalous two-dimensional CFTs while altering the butterfly velocity."},"references":{"count":102,"sample":[{"doi":"","year":null,"title":"Zamolodchikov,Expectation value of composite fieldTTin two-dimensional quantum field theory,hep-th/0401146","work_id":"cd23fe6e-4a89-4fb7-a9c1-a768a73ebf15","ref_index":1,"cited_arxiv_id":"hep-th/0401146","is_internal_anchor":true},{"doi":"","year":2017,"title":"On space of integrable quantum field theories","work_id":"c97a7238-0c15-46c5-966a-26ee4ca16b08","ref_index":2,"cited_arxiv_id":"1608.05499","is_internal_anchor":true},{"doi":"","year":2016,"title":"T ¯T-deformed 2D Quantum Field Theories","work_id":"2043885e-24eb-46d0-b0e7-181b922ead37","ref_index":3,"cited_arxiv_id":"1608.05534","is_internal_anchor":true},{"doi":"","year":2018,"title":"TheT Tdeformation of quantum field theory as random geometry","work_id":"9c1db19e-9d66-48ee-b6d2-7929d1356592","ref_index":4,"cited_arxiv_id":"1801.06895","is_internal_anchor":true},{"doi":"","year":2018,"title":"Moving the CFT into the bulk with $T\\bar T$","work_id":"0b9c18df-edb6-4f68-b80e-c16de110f39d","ref_index":5,"cited_arxiv_id":"1611.03470","is_internal_anchor":true}],"resolved_work":102,"snapshot_sha256":"c46fedca1d4110c570f07a1e1527308231baee7685c10d00139c84ef8280466e","internal_anchors":47},"formal_canon":{"evidence_count":2,"snapshot_sha256":"853a8bfe900039d33a97a80ce4dbace36bbcae73e2d5bd369a826dbe77f1f243"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}