{"work":{"id":"158e49b7-1690-4c6b-af2f-7c5bfa2f5bfc","openalex_id":null,"doi":null,"arxiv_id":"hep-th/0112258","raw_key":null,"title":"Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence","authors":null,"authors_text":"Edward Witten, “Multitrace operators, boundary conditions, and AdS / CFT correspondence,” (12","year":2001,"venue":"hep-th","abstract":"We argue that multi-trace interactions in quantum field theory on the boundary of AdS space can be incorporated in the AdS/CFT correspondence by using a more general boundary condition for the bulk fields than has been considered hitherto. We illustrate the procedure for a renormalizable four-dimensional field theory with a $(\\Tr \\Phi^2)^2$ interaction. In this example, we show how the AdS fields with the appropriate boundary condition reproduce the renormalization group effects found in the boundary field theory. We also construct in related examples a line of fixed points with a nonperturbative duality, and a flow between two methods of quantization.","external_url":"https://arxiv.org/abs/hep-th/0112258","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-07-04T16:09:56.874118+00:00","pith_arxiv_id":"hep-th/0112258","created_at":"2026-05-09T06:45:41.448252+00:00","updated_at":"2026-07-04T16:09:56.874118+00:00","title_quality_ok":true,"display_title":"Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence","render_title":"Multi-Trace Operators, Boundary Conditions, And AdS/CFT Correspondence"},"hub":{"state":{"work_id":"158e49b7-1690-4c6b-af2f-7c5bfa2f5bfc","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":"2023-11-01T14:33:23+00:00","last_pith_cited_at":"2026-06-29T18:31:43+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":"2026-08-05T02:34:30.946349+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":3}],"polarity_counts":[{"context_polarity":"background","n":3}],"runs":{},"summary":{},"graph":{},"authors":[]}}