{"work":{"id":"aeee0e1a-ec83-410e-8d10-9ec0de021b67","openalex_id":null,"doi":null,"arxiv_id":"hep-th/0209067","raw_key":null,"title":"Lecture Notes on Holographic Renormalization","authors":null,"authors_text":"Kostas Skenderis, “Lecture notes on holographic renormalization,” Class","year":2002,"venue":"hep-th","abstract":"We review the formalism of holographic renormalization. We start by discussing mathematical results on asymptotically anti-de Sitter spacetimes. We then outline the general method of holographic renormalization. The method is illustrated by working all details in a simple example: a massive scalar field on anti-de Sitter spacetime. The discussion includes the derivation of the on-shell renormalized action, of holographic Ward identities, anomalies and RG equations, and the computation of renormalized one-, two- and four-point functions. We then discuss the application of the method to holographic RG flows. We also show that the results of the near-boundary analysis of asymptotically AdS spacetimes can be analytically continued to apply to asymptotically de Sitter spacetimes. In particular, it is shown that the Brown-York stress energy tensor of de Sitter spacetime is equal, up to a dimension dependent sign, to the Brown-York stress energy tensor of an associated AdS spacetime.","external_url":"https://arxiv.org/abs/hep-th/0209067","cited_by_count":null,"metadata_source":"pith","metadata_fetched_at":"2026-05-25T03:55:21.006094+00:00","pith_arxiv_id":"hep-th/0209067","created_at":"2026-05-09T06:45:41.302731+00:00","updated_at":"2026-05-25T03:55:21.006094+00:00","title_quality_ok":true,"display_title":"Lecture notes on holographic renormalization","render_title":"Lecture notes on holographic renormalization"},"hub":{"state":{"work_id":"aeee0e1a-ec83-410e-8d10-9ec0de021b67","tier":"hub","tier_reason":"10+ Pith inbound or 1,000+ external citations","pith_inbound_count":15,"external_cited_by_count":null,"distinct_field_count":3,"first_pith_cited_at":"2025-07-08T18:00:00+00:00","last_pith_cited_at":"2026-05-22T16:42:50+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":"2026-06-01T12:53:29.429221+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":6},{"context_polarity":"use_method","n":2},{"context_polarity":"unclear","n":1}],"runs":{},"summary":{},"graph":{},"authors":[]}}