{"paper":{"title":"Symmetries of quantum space-time in 3 dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Daniele Pranzetti, Francesco Cianfrani, Giacomo Rosati, Jerzy Kowalski-Glikman","submitted_at":"2016-06-09T19:56:08Z","abstract_excerpt":"By applying loop quantum gravity techniques to 3D gravity with a positive cosmological constant $\\Lambda$, we show how the local gauge symmetry of the theory, encoded in the constraint algebra, acquires the quantum group structure of $so_q(4)$, with $ q = \\exp{(i\\hbar \\sqrt{\\Lambda}/2\\kappa)}$. By means of an Inonu-Wigner contraction of the quantum group bi-algebra, keeping $\\kappa$ finite, we obtain the kappa-Poincar\\'e algebra of the flat quantum space-time symmetries."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.03085","kind":"arxiv","version":3},"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"}