{"paper":{"title":"Extensions of tensor products of ${\\mathbb Z}_p$-orbifold models of the lattice vertex operator algebra $V_{\\sqrt{2}A_{p-1}}$","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":"2017-08-21T05:45:22Z","abstract_excerpt":"Let $p$ be an odd prime and let $\\widehat{\\sigma}$ be an order $p$ automorphism of $V_{\\sqrt{2}A_{p-1}}$ which is a lift of a $p$-cycle in the Weyl group ${\\rm Weyl}(A_{p-1})\\cong {\\mathfrak S}_p$. We study a certain extension $V$ of a tensor product of finitely many copies of the orbifold model $V_{\\sqrt{2}A_{p-1}}^{\\langle \\widehat{\\sigma} \\rangle}$ and give a criterion for $V$ that every irreducible $V$-module is a simple current."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.06082","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":""},"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"}