{"paper":{"title":"Characterization of 2D rational local conformal nets and its boundary conditions: the maximal case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.OA","math.QA"],"primary_cat":"math-ph","authors_text":"Marcel Bischoff, Roberto Longo, Yasuyuki Kawahigashi","submitted_at":"2014-10-31T18:54:59Z","abstract_excerpt":"Let $\\mathcal{A}$ be a completely rational local M\\\"obius covariant net on $S^1$, which describes a set of chiral observables. We show that local M\\\"obius covariant nets $\\mathcal{B}_2$ on 2D Minkowski space which contains $\\mathcal{A}$ as chiral left-right symmetry are in one-to-one correspondence with Morita equivalence classes of Q-systems in the unitary modular tensor category $\\mathrm{DHR}(\\mathcal{A})$. The M\\\"obius covariant boundary conditions with symmetry $\\mathcal{A}$ of such a net $\\mathcal{B}_2$ are given by the Q-systems in the Morita equivalence class or by simple objects in the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.8848","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"}