{"paper":{"title":"Anomaly of 4d Weyl fermions with discrete symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Zheyan Wan","submitted_at":"2025-06-24T15:17:44Z","abstract_excerpt":"We derive explicit anomaly-index formulas for four-dimensional Weyl fermions charged under the finite symmetries $\\mathrm{Spin}\\times\\mathbb Z_n$ and $\\mathrm{Spin}\\times_{\\mathbb Z_2^{\\mathrm F}}\\mathbb Z_{2m}^{\\mathrm F}$. The strategy is to start from the standard perturbative anomaly indices for $\\mathrm{Spin}\\times\\mathrm U(1)$ and $\\mathrm{Spin}\\times_{\\mathbb Z_2^{\\mathrm F}}\\mathrm U(1)=\\mathrm{Spin}^c$, and then restrict the continuous $\\mathrm U(1)$ symmetry to a finite cyclic subgroup. On the level of invertible field theories this gives natural homomorphisms $$ \\mathrm{TP}_5(\\mathr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.19710","kind":"arxiv","version":4},"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/2506.19710/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"}