{"paper":{"title":"The supersymmetric affine Yangian","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cheng Peng, Hong Zhang, Matthias R. Gaberdiel, Wei Li","submitted_at":"2017-11-20T18:23:17Z","abstract_excerpt":"The affine Yangian of $\\mathfrak{gl}_1$ is known to be isomorphic to ${\\cal W}_{1+\\infty}$, the $W$-algebra that characterizes the bosonic higher spin -- CFT duality. In this paper we propose defining relations of the Yangian that are relevant for the ${\\cal N}=2$ superconformal version of ${\\cal W}_{1+\\infty}$. Our construction is based on the observation that the ${\\cal N}=2$ superconformal ${\\cal W}_{1+\\infty}$ algebra contains two commuting bosonic ${\\cal W}_{1+\\infty}$ algebras, and that the additional generators transform in bi-minimal representations with respect to these two algebras. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.07449","kind":"arxiv","version":2},"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"}