{"paper":{"title":"Higher Spins and Yangian Symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cheng Peng, Matthias R. Gaberdiel, Rajesh Gopakumar, Wei Li","submitted_at":"2017-02-16T19:00:02Z","abstract_excerpt":"The relation between the bosonic higher spin ${\\cal W}_\\infty[\\lambda]$ algebra, the affine Yangian of $\\mathfrak{gl}_{1}$, and the SH$^c$ algebra is established in detail. For generic $\\lambda$ we find explicit expressions for the low-lying ${\\cal W}_\\infty[\\lambda]$ modes in terms of the affine Yangian generators, and deduce from this the precise identification between $\\lambda$ and the parameters of the affine Yangian. Furthermore, for the free field cases corresponding to $\\lambda=0$ and $\\lambda=1$ we give closed-form expressions for the affine Yangian generators in terms of the free fiel"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.05100","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"}