{ "id": "hep-th/9109023", "version": "v1", "published": "1991-09-12T21:58:11.000Z", "updated": "1991-09-12T21:58:11.000Z", "title": "On quantum group symmetries of conformal field theories", "authors": [ "Fernando Falceto", "Krzysztof Gawedzki" ], "comment": "15 pages", "categories": [ "hep-th" ], "abstract": "The appearance of quantum groups in conformal field theories is traced back to the Poisson-Lie symmetries of the classical chiral theory. A geometric quantization of the classical theory deforms the Poisson-Lie symmetries to the quantum group ones. This elucidates the fundamental role of chiral symmetries that quantum groups play in conformal models. As a byproduct, one obtains a more geometric approach to the representation theory of quantum groups.", "revisions": [ { "version": "v1", "updated": "1991-09-12T21:58:11.000Z" } ], "analyses": { "keywords": [ "conformal field theories", "quantum group symmetries", "poisson-lie symmetries", "quantum groups play", "conformal models" ], "note": { "typesetting": "TeX", "pages": 15, "language": "en", "license": "arXiv", "status": "editable", "inspire": 318356, "adsabs": "1991hep.th....9023F" } } }