{"paper":{"title":"The ${\\cal N}=2$ Supersymmetric $w_{1+\\infty}$ Symmetry in the Two-Dimensional SYK Models","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Changhyun Ahn","submitted_at":"2022-03-07T02:41:42Z","abstract_excerpt":"We identify the rank $(q_{syk}+1)$ of the interaction of the two-dimensional ${\\cal N}=(2,2)$ SYK model with the deformation parameter $\\lambda$ in the Bergshoeff, de Wit and Vasiliev(in 1991)'s linear $W_{\\infty}[\\lambda]$ algebra via $\\lambda =\\frac{1}{2(q_{syk}+1)}$ by using a matrix generalization. At the vanishing $\\lambda$ (or the infinity limit of $q_{syk}$), the ${\\cal N}=2$ supersymmetric linear $W_{\\infty}^{N,N}[\\lambda=0]$ algebra contains the matrix version of known ${\\cal N}=2$ $W_{\\infty}$ algebra, as a subalgebra, by realizing that the $N$-chiral multiplets and the $N$-Fermi mul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.03105","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2203.03105/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"}