{"paper":{"title":"Deformed Kac-Moody and Virasoro Algebras","license":"","headline":"","cross_cats":["gr-qc","math-ph","math.MP","math.QA"],"primary_cat":"hep-th","authors_text":"A. M. Marques, A. P. Balachandran, A. R. Queiroz, P. Teotonio-Sobrinho","submitted_at":"2006-08-12T15:05:47Z","abstract_excerpt":"Whenever the group $\\R^n$ acts on an algebra $\\calA$, there is a method to twist $\\cal A$ to a new algebra $\\calA_\\theta$ which depends on an antisymmetric matrix $\\theta$ ($\\theta^{\\mu \\nu}=-\\theta^{\\nu \\mu}=\\mathrm{constant}$). The Groenewold-Moyal plane $\\calA_\\theta(\\R^{d+1})$ is an example of such a twisted algebra. We give a general construction to realise this twist in terms of $\\calA$ itself and certain ``charge'' operators $Q_\\mu$. For $\\calA_\\theta(\\R^{d+1})$, $Q_\\mu$ are translation generators. This construction is then applied to twist the oscillators realising the Kac-Moody (KM) a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0608081","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0608081/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}