{"paper":{"title":"$A_k \\bar F$ Chiral Gauge Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Robert Shrock, Yan-Liang Shi","submitted_at":"2015-10-26T20:27:28Z","abstract_excerpt":"We study asymptotically free chiral gauge theories with an SU($N$) gauge group and chiral fermions transforming according to the antisymmetric rank-$k$ tensor representation, $A_k \\equiv [k]_N$, and the requisite number, $n_{\\bar F}$, of copies of fermions in the conjugate fundamental representation, $\\bar F \\equiv \\overline{[1]}_N$, to render the theories anomaly-free. We denote these as $A_k \\, \\bar F$ theories. We take $N \\ge 2k+1$ so that $n_{\\bar F} \\ge 1$. The $A_2 \\, \\bar F$ theories form an infinite family with $N \\ge 5$, but we show that the $A_3 \\, \\bar F$ and $A_4 \\,\\bar F$ theories"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07663","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"}