{"paper":{"title":"8d gauge anomalies and the topological Green-Schwarz mechanism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.str-el"],"primary_cat":"hep-th","authors_text":"Hirotaka Hayashi, I\\~naki Garc\\'ia-Etxebarria, Kantaro Ohmori, Kazuya Yonekura, Yuji Tachikawa","submitted_at":"2017-10-11T18:00:01Z","abstract_excerpt":"String theory provides us with 8d supersymmetric gauge theory with gauge algebras $\\mathfrak{su}(N)$, $\\mathfrak{so}(2N)$, $\\mathfrak{sp}(N)$, $\\mathfrak{e}_{6}$, $\\mathfrak{e}_{7}$ and $\\mathfrak{e}_{8}$, but no construction for $\\mathfrak{so}(2N{+}1)$, $\\mathfrak{f}_4$ and $\\mathfrak{g}_2$ is known. In this paper, we show that the theories for $\\mathfrak{f}_4$ and $\\mathfrak{so}(2N{+}1)$ have a global gauge anomaly associated to $\\pi_{d=8}$, while $\\mathfrak{g}_2$ does not have it. We argue that the anomaly associated to $\\pi_d$ in $d$-dimensional gauge theories cannot be canceled by topolog"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.04218","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"}