{"work":{"id":"e565c4e5-f3a9-49a2-a7c0-c8f0ccfae574","openalex_id":null,"doi":null,"arxiv_id":"0907.0151","raw_key":null,"title":"Holography from Conformal Field Theory","authors":null,"authors_text":"Idse Heemskerk, Joao Penedones, Joseph Polchinski, and James Sully, “Holography from Con- formal Field Theory,” JHEP10, 079 (","year":2009,"venue":"hep-th","abstract":"The locality of bulk physics at distances below the AdS length is one of the remarkable aspects of AdS/CFT duality, and one of the least tested. It requires that the AdS radius be large compared to the Planck length and the string length. In the CFT this implies a large-N expansion and a gap in the spectum of anomalous dimensions. We conjecture that the implication also runs in the other direction, so that any CFT with a planar expansion and a large gap has a local bulk dual. For an abstract CFT we formulate the consistency conditions, most notably crossing symmetry, and show that the conjecture is true in a broad range of CFT's, to first nontrivial order in 1/N^2: any CFT with a gap and a planar expansion is generated via the AdS/CFT dictionary from a local bulk interaction. We establish this result by a counting argument on each side, and also investigate various properties of some explicit solutions.","external_url":"https://arxiv.org/abs/0907.0151","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-05-25T20:01:10.790266+00:00","pith_arxiv_id":"0907.0151","created_at":"2026-05-10T10:44:38.705145+00:00","updated_at":"2026-06-05T21:23:00.469572+00:00","title_quality_ok":true,"display_title":"Holography from Conformal Field Theory","render_title":"Holography from Conformal Field Theory"},"hub":{"state":{"work_id":"e565c4e5-f3a9-49a2-a7c0-c8f0ccfae574","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":14,"external_cited_by_count":null,"distinct_field_count":2,"first_pith_cited_at":"2019-06-20T01:11:46+00:00","last_pith_cited_at":"2026-05-17T00:59:46+00:00","author_build_status":"not_needed","summary_status":"needed","contexts_status":"needed","graph_status":"needed","ask_index_status":"not_needed","reader_status":"not_needed","recognition_status":"not_needed","updated_at":"2026-06-06T22:01:12.065608+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":5}],"polarity_counts":[{"context_polarity":"background","n":4},{"context_polarity":"support","n":1}],"runs":{},"summary":{},"graph":{},"authors":[]}}