{ "id": "1811.02173", "version": "v1", "published": "2018-11-06T05:48:49.000Z", "updated": "2018-11-06T05:48:49.000Z", "title": "Very Special $T\\bar{J}$ deformed CFT", "authors": [ "Yu Nakayama" ], "comment": "21 pages", "categories": [ "hep-th" ], "abstract": "We study a very special class of $T\\bar{J}$ deformations of conformal field theories in two dimensions. While the deformations break the Lorentz symmetry, they preserve the twisted Lorentz symmetry. The resulting theory has right-moving Virasoro as well as left-moving translation and left-moving (chiral) scale symmetry without left-moving special conformal symmetry (nor left-moving Virasoro symmetry). As in the original $T\\bar{J}$ deformations, they may be regarded as an operator dependent non-local change of coordinates. We show concrete examples based on worldsheet string theory and discuss how the non-unitary nature enables us to circumvent various no-go theorems.", "revisions": [ { "version": "v1", "updated": "2018-11-06T05:48:49.000Z" } ], "analyses": { "keywords": [ "deformed cft", "operator dependent non-local change", "deformations", "conformal field theories", "non-unitary nature enables" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable" } } }