{"paper":{"title":"D-module Representations of N=2,4,8 Superconformal Algebras and Their Superconformal Mechanics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Francesco Toppan, Zhanna Kuznetsova","submitted_at":"2011-12-05T16:58:08Z","abstract_excerpt":"The linear (homogeneous and inhomogeneous) (k, N, N-k) supermultiplets of the N-extended one-dimensional Supersymmetry Algebra induce D-module representations for the N=2,4,8 superconformal algebras.\n  For N=2, the D-module representations of the A(1,0) superalgebra are obtained. For N=4 and scaling dimension \\lambda=0, the D-module representations of the A(1,1) superalgebra are obtained. For $\\lambda\\neq 0$, the D-module representations of the D(2,1;\\alpha) superalgebras are obtained, with $\\alpha$ determined in terms of the scaling dimension $\\lambda$ according to: $\\alpha=-2\\lambda$ for k=4"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.0995","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"}