{"paper":{"title":"Free Boson Representation of $DY_{\\hbar}(sl_2)_k$ and the Deformation of the Feigin-Fuchs","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"L. Zhao, X.M.Ding","submitted_at":"1997-10-14T04:18:40Z","abstract_excerpt":"A realization of the Yangian double with center $DY_\\hbar(sl_2)_k$ of level $k(\\not=0,-2)$ in terms of free boson fields is constructed. The screening currents are also presented, which commute with $DY_\\hbar(sl_2)$ modulo total difference. In the $\\hbar\\to 0$ limit, the currents of Yangian double $DY_\\hbar(sl_2)_k$ becomes the Feigin-Fuchs realization of affine Lie $sl(2)_k$, while the screening currents of Yangian double $DY_\\hbar(sl_2)_k$ becomes the screening currents of the affine Lie algebra $sl(2)_k$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9710106","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/hep-th/9710106/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"}