{"paper":{"title":"Anomalies of Duality Groups and Extended Conformal Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Kazuya Yonekura, Nathan Seiberg, Yuji Tachikawa","submitted_at":"2018-03-20T11:11:22Z","abstract_excerpt":"A self-duality group $\\cal G$ in quantum field theory can have anomalies. In that case, the space of ordinary coupling constants $\\cal M$ can be extended to include the space $\\cal F$ of coefficients of counterterms in background fields. The extended space $\\cal N$ forms a bundle over $\\cal M$ with fiber $\\cal F$, and the topology of the bundle is determined by the anomaly. For example, the ${\\cal G}=SL(2,\\mathbb{Z})$ duality of the 4d Maxwell theory has an anomaly, and the space ${\\cal F}=S^1$ for the gravitational theta-angle is nontrivially fibered over ${\\cal M}=\\mathbb{H}/SL(2,\\mathbb{Z})"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.07366","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1803.07366/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}