{"work":{"id":"db449dc1-12c4-4694-821b-d8920a2d02da","openalex_id":null,"doi":null,"arxiv_id":"hep-th/9806087","raw_key":null,"title":"The Holographic Weyl anomaly","authors":null,"authors_text":"M","year":1998,"venue":"hep-th","abstract":"We calculate the Weyl anomaly for conformal field theories that can be described via the adS/CFT correspondence. This entails regularizing the gravitational part of the corresponding supergravity action in a manner consistent with general covariance. Up to a constant, the anomaly only depends on the dimension d of the manifold on which the conformal field theory is defined. We present concrete expressions for the anomaly in the physically relevant cases d = 2, 4 and 6. In d = 2 we find for the central charge c = 3 l/ 2 G_N in agreement with considerations based on the asymptotic symmetry algebra of adS_3. In d = 4 the anomaly agrees precisely with that of the corresponding N = 4 superconformal SU(N) gauge theory. The result in d = 6 provides new information for the (0, 2) theory, since its Weyl anomaly has not been computed previously. The anomaly in this case grows as N^3, where N is the number of coincident M5 branes, and it vanishes for a Ricci-flat background.","external_url":"https://arxiv.org/abs/hep-th/9806087","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-07-10T23:57:40.069274+00:00","pith_arxiv_id":"hep-th/9806087","created_at":"2026-05-09T06:45:43.591095+00:00","updated_at":"2026-07-10T23:57:40.069274+00:00","title_quality_ok":false,"display_title":"The Holographic Weyl anomaly","render_title":"The Holographic Weyl anomaly"},"hub":{"state":{"work_id":"db449dc1-12c4-4694-821b-d8920a2d02da","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":29,"external_cited_by_count":null,"distinct_field_count":3,"first_pith_cited_at":"2025-08-02T17:28:33+00:00","last_pith_cited_at":"2026-07-08T19:17:17+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":"2026-08-22T02:09:33.802473+00:00","tier_text":"hub"},"tier":"hub","role_counts":[{"context_role":"background","n":7},{"context_role":"method","n":2}],"polarity_counts":[{"context_polarity":"background","n":7},{"context_polarity":"use_method","n":2}],"runs":{},"summary":{},"graph":{},"authors":[]}}