{"paper":{"title":"Quantum Twist-Deformed D=4 Phase Spaces with Spin Sector and Hopf Algebroid Structures","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jerzy Lukierski, Mariusz Woronowicz, Stjepan Meljanac","submitted_at":"2018-11-18T17:51:24Z","abstract_excerpt":"We consider the generalized (10+10)-dimensional D=4 quantum phase spaces containing translational and Lorentz spin sectors associated with the dual pair of twist-quantized Poincare Hopf algebra $\\mathbb{H}$ and quantum Poincare Hopf group $\\widehat{\\mathbb{G}}$. Two Hopf algebroid structures of generalized phase spaces with spin sector will be investigated: first one $% \\mathcal{H}^{(10,10)}$ describing dynamics on quantum group algebra $% \\widehat{\\mathbb{G}}$ provided by the Heisenberg double algebra $\\mathcal{HD=% }\\mathbb{H}\\rtimes \\widehat{\\mathbb{G}}$, and second, denoted by $\\mathcal{% "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.07365","kind":"arxiv","version":1},"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"}