{"paper":{"title":"The ${\\cal N}=4$ Supersymmetric Linear $W_{\\infty}[\\lambda]$ Algebra","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Changhyun Ahn","submitted_at":"2022-05-09T04:21:02Z","abstract_excerpt":"From the recently known ${\\cal N}=2$ supersymmetric linear $W_{\\infty}^{K,K}[\\lambda]$ algebra where $K$ is the dimension of fundamental (or antifundamental) representation of bifundamental $\\beta \\, \\gamma$ and $b \\, c$ ghost system, we determine its ${\\cal N}=4$ supersymmetric enhancement at $K=2$. We construct the ${\\cal N}=4$ stress energy tensor, the first ${\\cal N}=4$ multiplet and their operator product expansions (OPEs) in terms of above bifundamentals. We show that the OPEs between the first ${\\cal N}=4$ multiplet and itself are the same as the corresponding ones in the ${\\cal N}=4$ c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2205.04024","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2205.04024/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}