{"paper":{"title":"$\\mathcal{N}=3$ conformal 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, Sergei M. Kuzenko","submitted_at":"2023-12-12T13:19:16Z","abstract_excerpt":"We develop a superspace formulation for ${\\cal N}=3$ conformal supergravity in four spacetime dimensions as a gauge theory of the superconformal group $\\mathsf{SU}(2,2|3)$. Upon imposing certain covariant constraints, the algebra of conformally covariant derivatives $\\nabla_A = (\\nabla_a,\\nabla_\\alpha^i,\\bar{\\nabla}_i^{\\dot \\alpha})$ is shown to be determined in terms of a single primary chiral spinor superfield, the super-Weyl spinor $W_\\alpha$ of dimension $+1/2$ and its conjugate. Associated with $W_\\alpha$ is its primary descendant $B^i{}_j$ of dimension $+2$, the super-Bach tensor, which "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.07242","kind":"arxiv","version":2},"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/2312.07242/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"}