{"paper":{"title":"A note on the implementation of Poincar\\'e symmetry in noncommutative field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Ignacio Cortese, J. Antonio Garc\\'ia","submitted_at":"2010-05-18T17:57:11Z","abstract_excerpt":"We argue that Poincar\\'e symmetry can be implemented in NCFT if we allow the parameter of noncommutitive deformation $\\theta^{\\mu\\nu}$ to change as a two-tensor under the corresponding space-time symmetry. The implementation is consistent with the definition of $\\theta^{\\mu\\nu}$ in terms of space-time coordinates and with the Moyal star product. Inspired from the standard definition of a variational symmetry we found a universal way to correct the implementation of the Poincar\\'e symmetry by a term proportional to the variation of $\\theta^{\\mu\\nu}$ in such a way that the new transformation def"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.3269","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"}