{"paper":{"title":"Parton construction of particle-hole-conjugate Read-Rezayi parafermion fractional quantum Hall states and beyond","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mes-hall","hep-th"],"primary_cat":"cond-mat.str-el","authors_text":"Ajit C. Balram, Maissam Barkeshli, Mark S. Rudner","submitted_at":"2019-02-11T22:31:18Z","abstract_excerpt":"The Read-Rezayi (RR) parafermion states form a series of exotic non-Abelian fractional quantum Hall (FQH) states at filling $\\nu = k/(k+2)$. Computationally, the wave functions of these states are prohibitively expensive to generate for large systems. We introduce a series of parton states, denoted \"$\\bar{2}^{k}1^{k+1}$,\" and show that they lie in the same universality classes as the particle-hole-conjugate RR (\"anti-RR\") states. Our analytical results imply that a $(U(1)_{k+1} \\times U(2k)_{-1})/(SU(k)_{-2} \\times U(1)_{-1})$ coset conformal field theory describes the edge excitations of the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.04173","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":""},"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"}