{"paper":{"title":"On the realization of impossible anomalies","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Yu Nakayama","submitted_at":"2018-04-09T12:30:17Z","abstract_excerpt":"The Wess-Zumino consistency condition allows more exotic forms of anomalies than those we usually encounter. For example in two-dimensional conformal field theories in the curved background with space-time dependent coupling constant $\\lambda^i(x)$, a $U(1)$ current could possess anomalous divergence of the form $D^\\mu J_\\mu = \\tilde{c} R + \\chi_{ij} \\partial^\\mu \\lambda^i \\partial_\\mu\\lambda_j + \\tilde{\\chi}_{ij} \\epsilon^{\\mu\\nu} \\partial_\\mu \\lambda^i \\partial_\\nu \\lambda^j + \\cdots $. Another example is the CP odd Pontryagin density in four-dimensional Weyl anomaly. We could, however, argu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.02940","kind":"arxiv","version":1},"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"}