{"paper":{"title":"Replicating Higgs fields in Ising gauge theory: the registry order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"Aleksandar Bukva, Jan Zaanen, Koenraad Schalm","submitted_at":"2023-05-03T19:49:01Z","abstract_excerpt":"We consider $Z_2$ gauge field theory coupled to \"Higgs\" matter fields invoking several copies of such matter, interacting entirely through the gauge fields, the $Z_2 \\times Z_2 \\times Z_2\\cdots / Z_2$ and the $O(N) \\times O(N) \\times O(N) \\cdots / Z_2$ families of theories. We discover that the Higgs phase of such theories is characterized by a hitherto unidentified \"registry\" order parameter. This is characterized by a gauge invariant $p = 2^{N_{\\text{rep}}}/2$ Potts type symmetry where $N_{\\text{rep}}$ is the number of matter copies. The meaning of this registry is that the different matter "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2305.02400","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2305.02400/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"}