{"arxiv_id":"hep-th/0601054","title":"Triangle Anomalies from Einstein Manifolds","abstract":"The triangle anomalies in conformal field theory, which can be used to determine the central charge a, correspond to the Chern-Simons couplings of gauge fields in AdS under the gauge/gravity correspondence. We present a simple geometrical formula for the Chern-Simons couplings in the case of type IIB supergravity compactified on a five-dimensional Einstein manifold X. When X is a circle bundle over del Pezzo surfaces or a toric Sasaki-Einstein manifold, we show that the gravity result is in perfect agreement with the corresponding quiver gauge theory. Our analysis reveals an interesting connection with the condensation of giant gravitons or dibaryon operators which effectively induces a rolling among Sasaki-Einstein vacua.","primary_cat":"hep-th","cross_cats":[],"submitted_at":"2006-01-10T17:56:24+00:00","latest_version":2,"source":"arxiv","source_label":"arXiv","source_url":null,"has_pdf":true,"has_source":false,"verdict":"CONDITIONAL","confidence":"MODERATE","one_line_summary":"A geometric formula computes the Chern-Simons couplings of type IIB on any Einstein five-manifold, and for toric Sasaki-Einstein spaces it reduces to the area of a triangle in the toric diagram, matching quiver gauge theory.","novelty_score":6.0,"correctness_risk":"medium","formal_verification":"none","upvotes":0,"downvotes":0,"pith_score":0,"inbound_count":27,"_links":{"html":"https://pith.science/paper/hep-th/0601054","verdict":"/api/v1/verdicts/hep-th/0601054"}}