{"paper":{"title":"A remark on ${\\mathbb Z}_p$-orbifold constructions of the Moonshine vertex operator algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Ching Hung Lam, Hiromichi Yamada, Toshiyuki Abe","submitted_at":"2017-05-25T01:59:14Z","abstract_excerpt":"For $p = 3,5,7,13$, we consider a ${\\mathbb Z}_p$-orbifold construction of the Moonshine vertex operator algebra $V^\\natural$. We show that the vertex operator algebra obtained by the ${\\mathbb Z}_p$-orbifold construction on the Leech lattice vertex operator algebra $V_\\Lambda$ and a lift of a fixed-point-free isometry of order $p$ is isomorphic to the Moonshine vertex operator algebra $V^\\natural$. We also describe the relationship between those ${\\mathbb Z}_p$-orbifold constructions and the ${\\mathbb Z}_2$-orbifold construction in a uniform manner. In Appendix, we give a characterization of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.09022","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":""},"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"}