{"paper":{"title":"A Deformed Supersymmetric $w_{1+\\infty}$ Symmetry in the Celestial Conformal Field Theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Changhyun Ahn","submitted_at":"2022-02-07T05:21:27Z","abstract_excerpt":"By using the $K$-free complex bosons and the $K$-free complex fermions, we construct the ${\\cal N}=2$ supersymmetric $W_{\\infty}^{K,K}$ algebra which is the matrix generalization of previous ${\\cal N}=2$ supersymmetric $W_{\\infty}$ algebra. By twisting this ${\\cal N}=2$ supersymmetric $W_{\\infty}^{K,K}$ algebra, we obtain the ${\\cal N}=1$ supersymmetric $W_{\\infty}^{K}$ algebra which is the matrix generalization of known ${\\cal N}=1$ supersymmetric topological $W_{\\infty}$ algebra. From this two-dimensional symmetry algebra, we propose the operator product expansion (OPE) between the soft grav"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2202.02949","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/2202.02949/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"}