{"paper":{"title":"\\kappa-deformations of D=4 Weyl and conformal symmetries","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"J. Lukierski (Wroclaw University), M. Mozrzymas (Wroclaw University), V. Lyakhovsky (Sankt Petersburg University)","submitted_at":"2002-03-20T13:12:45Z","abstract_excerpt":"We provide first explicite examples of quantum deformations of D=4 conformal algebra with mass-like deformation parameters, in applications to quantum gravity effects related with Planck mass. It is shown that one of the classical $r$-matrices defined on the Borel subalgebra of $sl(4)$ with $o(4,2)$ reality conditions describes the light-cone $\\kappa$-deformation of D=4 Poincar\\'{e} algebra. We embed this deformation into the three-parameter family of generalized $\\kappa$-deformations, with $r$-matrices depending additionally on the dilatation generator. Using the extended Jordanian twists fra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0203182","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":""},"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"}