{"paper":{"title":"Embedding formalism for ${\\mathcal N}$-extended AdS superspace in four dimensions","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Emmanouil S. N. Raptakis, Nowar E. Koning, Sergei M. Kuzenko","submitted_at":"2023-08-08T08:48:14Z","abstract_excerpt":"The supertwistor and bi-supertwistor formulations for ${\\mathcal N}$-extended anti-de Sitter (AdS) superspace in four dimensions, ${\\rm AdS}^{4|4\\mathcal N}$, were derived two years ago in arXiv:2108.03907. In the present paper, we introduce a novel realisation of the ${\\mathcal N}$-extended AdS supergroup $\\mathsf{OSp}(\\mathcal{N}|4;\\mathbb{R})$ and apply it to develop a coset construction for ${\\rm AdS}^{4|4\\mathcal N}$ and the corresponding differential geometry. This realisation naturally leads to an atlas on ${\\rm AdS}^{4|4\\mathcal N}$ (that is a generalisation of the stereographic projec"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.04135","kind":"arxiv","version":4},"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/2308.04135/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"}