{"paper":{"title":"Conformal Field Theories, Representations and Lattice Constructions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"L. Dolan, P. Goddard, P. Montague","submitted_at":"1994-10-05T16:35:07Z","abstract_excerpt":"An account is given of the structure and representations of chiral bosonic meromorphic conformal field theories (CFT's), and, in particular, the conditions under which such a CFT may be extended by a representation to form a new theory. This general approach is illustrated by considering the untwisted and $Z_2$-twisted theories, $H(\\Lambda)$ and $\\tilde H(\\Lambda)$ respectively, which may be constructed from a suitable even Euclidean lattice $\\Lambda$. Similarly, one may construct lattices $\\Lambda_C$ and $\\tilde\\Lambda_C$ by analogous constructions from a doubly-even binary code $C$. In the c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9410029","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"}