{"paper":{"title":"Feigin-Fuchs Representations for Nonequivalent Algebras of N=4 Superconformal Symmetery","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Satoshi Matsuda, Yukitaka Ishimoto","submitted_at":"1996-09-24T02:52:40Z","abstract_excerpt":"The $N=4$ SU(2)$_k$ superconformal algebra has the global automorphism of SO(4) $\\approx$ SU(2)$\\times$SU(2) with the {\\it left} factor as the Kac-Moody gauge symmetry. As a consequence, an infinite set of independent algebras labeled by $\\rho$ corresponding to the conjugate classes of the {\\it outer} automorphism group SO(4)/SU(2)=SU(2) are obtained \\`a la Schwimmer and Seiberg. We construct Feigin-Fuchs representations with the $\\rho$ parameter embedded for the infinite set of the $N=4$ nonequivalent algebras. In our construction the extended global SU(2) algebras labeled by $\\rho$ are self-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9609184","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"}