{ "id": "1112.5361", "version": "v1", "published": "2011-12-22T16:06:13.000Z", "updated": "2011-12-22T16:06:13.000Z", "title": "Virasoro action on Imaginary Verma modules and the operator form of the KZ-equation", "authors": [ "Ben Cox", "Vyacheslav Futorny", "Renato Martins" ], "categories": [ "math.RT", "math-ph", "math.MP" ], "abstract": "We define the Virasoro algebra action on imaginary Verma modules for affine sl(2) and construct the analogs of Knizhnik-Zamolodchikov equation in the operator form. Both these results are based on a free field realization of imaginary Verma modules.", "revisions": [ { "version": "v1", "updated": "2011-12-22T16:06:13.000Z" } ], "analyses": { "subjects": [ "17B67", "81R10" ], "keywords": [ "imaginary verma modules", "operator form", "virasoro action", "kz-equation", "virasoro algebra action" ], "tags": [ "journal article" ], "publication": { "doi": "10.1007/s11005-012-0580-7", "journal": "Letters in Mathematical Physics", "year": 2012, "month": "Nov", "volume": 102, "number": 2, "pages": 125 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012LMaPh.102..125C" } } }