{"paper":{"title":"Boundary Conformal Anomalies on Hyperbolic Spaces and Euclidean Balls","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Diego Rodriguez-Gomez, Jorge G. Russo","submitted_at":"2017-10-25T16:32:20Z","abstract_excerpt":"We compute conformal anomalies for conformal field theories with free conformal scalars and massless spin $1/2$ fields in hyperbolic space $\\mathbb{H}^d$ and in the ball $\\mathbb{B}^d$, for $2\\leq d\\leq 7$. These spaces are related by a conformal transformation. In even dimensional spaces, the conformal anomalies on $\\mathbb{H}^{2n}$ and $\\mathbb{B}^{2n}$ are shown to be identical. In odd dimensional spaces, the conformal anomaly on $\\mathbb{B}^{2n+1}$ comes from a boundary contribution, which exactly coincides with that of $\\mathbb{H}^{2n+1}$ provided one identifies the UV short-distance cuto"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.09327","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}