{"paper":{"title":"Symmetries and stabilisers in modular invariant flavour models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Ivo de Medeiros Varzielas, Miguel Levy, Ye-Ling Zhou","submitted_at":"2020-08-12T14:09:36Z","abstract_excerpt":"The idea of modular invariance provides a novel explanation of flavour mixing. Within the context of finite modular symmetries $\\Gamma_N$ and for a given element $\\gamma \\in \\Gamma_N$, we present an algorithm for finding stabilisers (specific values for moduli fields $\\tau_\\gamma$ which remain unchanged under the action associated to $\\gamma$). We then employ this algorithm to find all stabilisers for each element of finite modular groups for $N=2$ to $5$, namely, $\\Gamma_2\\simeq S_3$, $\\Gamma_3\\simeq A_4$, $\\Gamma_4\\simeq S_4$ and $\\Gamma_5\\simeq A_5$. These stabilisers then leave preserved a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.05329","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/2008.05329/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"}